[quote=sabby2066]hey any one can help me.....
i can't solve the folowing problems of shakuntala devi...
Q:A man i know ,who lives in my neighbourhood.travels to chinsura everyday from his work. his wife drives him over to howrah station every morning and in the eveinig exactly
at 6:00 pm.she picks up from the station and takes back home.
one day he was let off at work an hour earlier,and so he arrived at the howrah station at 5:00pm instead of 6:0 pm. he started walking home.however he met his wife enroute to the station and got in the car. They drove him arriving 10 minutes earlier than usual.
how long did the man have to walk,before he picked up his wife?
Ans:- today they reached 10 minutes earlier therefore 10 minutes saved by woman who mte her husband at point A so = she saves x minutes while going to to howrah stn from the point A they met + x more minutes for comig back from howrah to that point A where she met his husband.so 2x= 10 so x=5 Therefore the point they met must have been 5 min driving time from howrah,so wife should have been at that point at 5 minutes to 6 i.e 5.55,since man strated at 5oclock so he walked till 5.55 and then met his wife so he had to walk for 55 min b4 he was picked up by his wife
Q: 27 shakuntala devi: Down the Escalator.
the solutions to the escalator problems were sent by suresh chk these to get an ide as how to solve.
A person walking takes 26 steps to come down on a escalator and it takes 30 seconds for him for walking. The same person while running takes 18 second and 34 steps. How many steps are there ??
Sol:
Let's suppose that escalator moves n steps/sec.
It is given that if he walks he takes 30 sec and covers 26 steps.
So in that 30 sec escalator would have covered 30n steps.
Hence the total number of steps on the escalator is 26 + 30n----(1)
Similarly when he runs he takes 18 sec and covers 34 steps.
So in 18 sec escalator covers 18n steps.
Hence total steps on the escalator must be 34 + 18n-------(2)
Equating (1) & (2) 26 +30n = 34 + 18n we get n= 2/3
Hence no. steps is 26+30(2/3) = 46.
Problem #2
An escalator is descending at constant speed. A walks down and
takes 50 steps to reach the bottom. B runs down and takes 90 steps
in the same time as A takes 10 steps. How many steps are visible
when the escalator is not operating?
Sol: Lets suppose that A walks down 1 step / min and
escalator moves n steps/ min
It is given that A takes 50 steps to reach the bottom
In the same time escalator would have covered 50n steps
So total steps on escalator is 50+50n.
Again it is given that B takes 90 steps to reach the bottom and time
taken by him for this is equal to time taken by A to cover 10 steps i.e
10 minutes. So in this 10 min escalator would have covered 10n steps.
So total steps on escalatro is 90 + 10n
Again equating 50 + 50n = 90 +10n we get n = 1
Hence total no. of steps on escalator is 100.
Problem #3
There is a escalator and 2 persons move down it. A takes 50 steps and B takes 75 steps while the escalator is moving down. Given that the time taken by A to take 1 step is equal to time taken by B to take 3 steps, find the no. of steps in the escalator while it is staionary.
Sol: Let A take 1 step/min.
Hence B takes 3 steps/min. Let the escalator take n steps/min
Given that A takes 50 steps and hence in the same time escalator will
take 50n steps. So total no. of steps must be 50 + 50n
It is given that B takes 75 steps (which means he takes 25 min)
So in the same time escalator will cover 25n steps.
Hence no. of steps must be 75 +25n
Equating 50+50n = 75+25n we get n = 1.
Hence total no. of steps must be 100.
I hope my answers are correct and my explanation is lucid
__________________
Regards,
Suresh.
Q: 60 The problem of lilawati
she says u will get the answer by backtracking,it would be nice if anybody gives the steps for back tracking.
Q: 148 The two trains///
Ans:--- for the 2 trains A and Bsum actually therez a formula which says if the 2 tarins which start at same time and meet at a point after which ie aftr crossing they take a and b times respectively to reach their destiantion,then since distance s same so ratio of speeds is speed A:speed B=sqrt(b):sqrt(a).So the first train is twice as fast.
Can anybody post the prrof of this formula??
All the Best and loads of luck,I think u 2 have ure infy exam on 16th.
reagards
divya