Quant by Arun Sharma

A can do a piece of work in 20 days.he works at it for 5 days and then B finishes it in 10 more days.In how many days will A and B together finish this work.

A's 5 days work=5/20=1/4
So 3/4th of work left
3/4*1/10=3/40??
wat next..im unable to proceed
Pls explain in detail with steps
thanks in advance

A's work=5/20

B's work=3/40

(A+B)'s work=10/40+3/40=13/40

So for one day it is 13/40,so it takes 4 days...:sneaky::sneaky:
A's work=5/20

B's work=3/40

(A+B)'s work=10/40+3/40=13/40

So for one day it is 13/40,so it takes 4 days...:sneaky::sneaky:


the given answer is 8 days

Raju can do a piece of work in 10 days,Vicky in 12 days and Tinku in 15 days.They all start the work together,but Raju leaves after 2 days and Vicky leaves 3 days before the work is completed.In how many days the work is completed.
a.5 days
b.6 days
c.7 days
d.8 days

i solved using this way:

R+V+T 2 day's work=1/10+1/12+1/15=15/60=2(1/4)
remaining work=1/2
V's 3 day's work=3/12=1/4
so now the remaining work=1-(1/2+1/4)=1/4
V+T's 1 day work=1/12+1/15=9/60=3/20
so the remaining work is finished in=20/3*1/4=5/3
but the given answer is 7
pls tell me wer am wrong?

Raju can do a piece of work in 10 days,Vicky in 12 days and Tinku in 15 days.They all start the work together,but Raju leaves after 2 days and Vicky leaves 3 days before the work is completed.In how many days the work is completed.
a.5 days
b.6 days
c.7 days
d.8 days

i solved using this way:

R+V+T 2 day's work=1/10+1/12+1/15=15/60=2(1/4)
remaining work=1/2
V's 3 day's work=3/12=1/4
so now the remaining work=1-(1/2+1/4)=1/4
V+T's 1 day work=1/12+1/15=9/60=3/20
so the remaining work is finished in=20/3*1/4=5/3
but the given answer is 7
pls tell me wer am wrong?


R+V+T 2 day's work=1/10+1/12+1/15=15/60=2(1/4)
remaining work=1/2
T's 3 day's work=3/15=1/5 -since V had left 3 days before, so T is left to do the work for last 3 days
so now the remaining work=1-(1/2+1/5)=3/10
V+T's 1 day work=1/12+1/15=9/60=3/20
so the remaining work is finished in=20/3*3/10 = 2 days
so the answer is 7 (2+3+2)
kittu12 Says
the given answer is 8 days

Can you post the approach pls???

Raju can do a piece of work in 10 days,Vicky in 12 days and Tinku in 15 days.They all start the work together,but Raju leaves after 2 days and Vicky leaves 3 days before the work is completed.In how many days the work is completed.
a.5 days
b.6 days
c.7 days
d.8 days

i solved using this way:

R+V+T 2 day's work=1/10+1/12+1/15=15/60=2(1/4)
remaining work=1/2
V's 3 day's work=3/12=1/4
so now the remaining work=1-(1/2+1/4)=1/4
V+T's 1 day work=1/12+1/15=9/60=3/20
so the remaining work is finished in=20/3*1/4=5/3
but the given answer is 7
pls tell me wer am wrong?


2/10+(x-3)/12+x/15=1

Solving it x=7...
A can do a piece of work in 20 days.he works at it for 5 days and then B finishes it in 10 more days.In how many days will A and B together finish this work.

A's 5 days work=5/20=1/4
So 3/4th of work left
3/4*1/10=3/40??
wat next..im unable to proceed
Pls explain in detail with steps
thanks in advance

A's work=5/20

B's work=3/40

(A+B)'s work=10/40+3/40=13/40

So for one day it is 13/40,so it takes 4 days...:sneaky::sneaky:


Let total work be 200 units...
A takes 20 days to finish the work so he does 10 unit of work in one day...
In 5 days A completed 50 unit of work
Work left = 150 unit
Now B takes 10 days to finish 150 unit of work, so B does 15 unit of work in one day.
So together A and B do 15+10 = 25 unit of work in one day.
So to finish 200 units of work they will take 8 days..
Hope it is clear....
If harmonic mean between two positive numbers is to the inverse of their geometric mean as 12:13; then the numbers could be in ratio
a)12:13
B)13:12
c)4:9
d)2:3
corrected the question

and suja bhai
1+4/7+(9/7^2)+(16/7^3)......
ye series kaise karte the??
1 month mein sab bhul gaya hu :-(


language samjh nhn aa rhi 1st ki
..................

S=1+4/7+(9/7^2)+(16/7^3)......
S/7 = 1/7 + 4/7^2 + 9/7^3 + ....

subtract,
6S/7 =1+3/7 + 5/7^2 + 7/7^3 + 9/7^2 + ...

RHS is Arithmetico-Geometric infinite series,there is direct formula which can be applied here,but if you don't remember it then again same step has to be repeated like,

6S/7^2 = 1/7+3/7^2+ 5/7^3 + ...

subtract from above,
6S/7 - 6S/49 = 1+2/7 + 2/7^2 + 2/7^3 +....
36S/49 - 1 = 2(1/7+1/7^2 + ..)
.... = 2.1/7/(1-1/7)
... = 1/3
S = 4/3.49/36 = 49/27
............................
Let total work be 200 units...
A takes 20 days to finish the work so he does 10 unit of work in one day...
In 5 days A completed 50 unit of work
Work left = 150 unit
Now B takes 10 days to finish 150 unit of work, so B does 15 unit of work in one day.
So together A and B do 15+10 = 25 unit of work in one day.
So to finish 200 units of work they will take 8 days..
Hope it is clear....

thanks alot dude..could u pls tell me what mistake i made in the proceeding which i used to solve the same problem
kittu12 Says
thanks alot dude..could u pls tell me what mistake i made in the proceeding which i used to solve the same problem


This is what you had done-

A's 5 days work=5/20=1/4
So 3/4th of work left
3/4*1/10=3/40??
wat next..im unable to proceed
Pls explain in detail with steps
thanks in advance


Till this step, it is fine.
The only thing is that you are considering work done to be = 1 unit (1/4th done by A and rest 3/4th done by B)
Proceeding further,
Work done by A in 1 day = 1/20 (from the data provided)
Work done by B in 1 day = 3/40 (that you had calculated)

Let time taken to complete the work when A and B works together be t.
Hence, work done by A and B
= t(1/20 + 3/40) = 1
Solve for t and you will get 8

15 men can do a piece of work in 210 days. But at the end of every 10 days 15 additional men are employed, in how many days will it be finished
the answer is 55
In a fort there was sufficient food for 200 soldiers for 31 days. After 27 days 120 soldiers left the front . For how many extra days will the rest of the food last for the remaining soldiers?
the ans is 10 days
pls explain in detail with steps

15 men can do a piece of work in 210 days. But at the end of every 10 days 15 additional men are employed, in how many days will it be finished
the answer is 55
In a fort there was sufficient food for 200 soldiers for 31 days. After 27 days 120 soldiers left the front . For how many extra days will the rest of the food last for the remaining soldiers?
the ans is 10 days
pls explain in detail with steps

i am getting answer 60 days....and not able to find where i have gone wrong.....
what answer you are getting???????
i did in this way...
15 men...210 days...hence total work is of 15*210 men days...
now for 1st 10 days 15 workers...hence 150 men days work will be finished...
then 30 workers will work for next 10 days...hence 300 men days work will be finished...
and so on...it will form an AP whose sum will be found....please correct me if i am wrong....
But at the
In a fort there was sufficient food for 200 soldiers for 31 days. After 27 days 120 soldiers left the front . For how many extra days will the rest of the food last for the remaining soldiers?
the ans is 10 days
pls explain in detail with steps


solution of this one(treat this as simple time and work problem)
total food will be 200*31 days men food...
now for 27 days we have full strength...in that time some food will be consumed..which will be equal to 200*27
after that we will have only 80 men left..which can eat food for n days....hence
200*31=200*27+80*n
solve this you will get n=10

There are two pipes in a tank. Pipe A is for filling the tank and Pipe B is for emptying the tank. If A can fill the tank in 10 hours and B can empty the tank in 15 hours then find how many hours will it take to completely fill a half empty tank
the answer is 33.33
pls explain i detail with steps

There are two pipes in a tank. Pipe A is for filling the tank and Pipe B is for emptying the tank. If A can fill the tank in 10 hours and B can empty the tank in 15 hours then find how many hours will it take to completely fill a half empty tank
the answer is 33.33
pls explain i detail with steps


Looks like something is wrong here. Answer should be 15.

Say, capacity of tank is 30.
=> A fills 3 units per hour and B removes 2 units per hour
=> Together they will effectively add 1 unit
=> For filling half tank i.e. 15 units; they will need 15 hours
There are two pipes in a tank. Pipe A is for filling the tank and Pipe B is for emptying the tank. If A can fill the tank in 10 hours and B can empty the tank in 15 hours then find how many hours will it take to completely fill a half empty tank
the answer is 33.33
pls explain i detail with steps


correct answer of this question is 15.....
@thinkace bhai kindly solve above posted question
15 men can do a peice of work...and correct me if i have done some mistake...it will be great help
15 men can do a piece of work in 210 days. But at the end of every 10 days 15 additional men are employed, in how many days will it be finished
the answer is 55

correct answer of this question is 15.....
@thinkace bhai kindly solve above posted question
15 men can do a peice of work...and correct me if i have done some mistake...it will be great help


I think it should be 60 days

Total amount of work = 15*210
Now, work happens in slots of 10 days like:
10*15 + 10*30 + 10*45 + 10*60 + ..

=> 15*210 = 10*15*(1+2+3+4+..)
=> 21 = 1 + 2 + 3 + 4 + .... + n
=> n = 6
=> Days needed 6*10 = 60

Abbot can do some work in 10 days, Bill can do it in 20 days and Clinton can do it in 40 days. They start working in turns with Abbot starting to work on the first day followed by Bill on the 2nd day and by Clinton on the 3rd day and again by Abbot on the fourth day and so ontill the work is completed fully.find the time to complete the work fully..
friends i always get confused while solving such alternate sums..pls explain in detail so that i may not find difficulty in solving such problems..if possible pls gimme me some tricks to solve such problems
thanks in advance

I think it should be 60 days

Total amount of work = 15*210
Now, work happens in slots of 10 days like:
10*15 + 10*30 + 10*45 + 10*60 + ..

=> 15*210 = 10*15*(1+2+3+4+..)
=> 21 = 1 + 2 + 3 + 4 + .... + n
=> n = 6
=> Days needed 6*10 = 60


i didnt get n as 21 not 6 i used the same AP method..could u pls elaborate..
thanks in advance

There are three Taps A, B and C in a tank. They can fill the tank in 10 hrs, 20 hrs and 25 hrs respectively. At first, all of them are opened simultaneously.then after 2 hours,tap C is closed and A and B are kept running.After the 4th hour,tap B is also closed.the remaining work is done by Tap A alone.Find the percentage of the work done by tap A by itself.
pls explain in details with steps

Abbot can do some work in 10 days, Bill can do it in 20 days and Clinton can do it in 40 days. They start working in turns with Abbot starting to work on the first day followed by Bill on the 2nd day and by Clinton on the 3rd day and again by Abbot on the fourth day and so ontill the work is completed fully.find the time to complete the work fully..
friends i always get confused while solving such alternate sums..pls explain in detail so that i may not find difficulty in solving such problems..if possible pls gimme me some tricks to solve such problems
thanks in advance


kittu ji dnt wry....answer for this ques is 16 (1/2) days..
look A=10days
B=20 days
C=40days....we will find lcm of of them...which will be 40...now we will suppose total work is of 40 nits...
A will do=4units works in 1 day
B will do=2 units
C=1unit
ABC ABC ABC ABC...this will be cycle
every cycle will do 7units of works in 3 days...hence we will be needing 5 such cycle=35 units of work
still 5 units of work is left...
that will be done by A and B...A will complete its work...till then 39 units of work will be done....in 16 days...
now B can do 2 units of work...but only 1 unit is left hence
answer will be 16 1/2....days...i hope i am clear