A train started at 9:00 a.m. at station X with a speed of 72 kmph. After two hours, another train started at station Y towards X with a speed of 90 kmph. The two trains are expected to cross each other at 1:30 p.m. Owing to a signal problem arising at 12 noon, the speed of each of them was reduced by the same quantity and they crossed each other at 4:30 p.m.
1. If the signal problem had occurred at 1:00 p.m. instead of 12 noon, at what time would the two trains have crossed each other?
2.30 it is!!
How to solve this question ?
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Two friends – Prakash and Arpit – started running simultaneously from a point P in the same direction along a straight running track. The ratio of the speeds of Prakash and Arpit was 2 : 5 respectively. Two hours later, Arpit turned back and started running backwards at one-fifth of his original speed. He met Prakash at a distance of 10 km from the point P. What was Prakash's running speed?
(a) 1.25 km/hr (b) 2.5 km/hr (c) 3.75 km/hr (d) 6.25 km/hr
A function f(x) is defined as (x+1)*f(x+1)+x*f(x)+(x–1)*f(x–1)=0 for x≥2.If f(1)=40 and f(6) = 180, find the value of f(14). (a) –80 (b) –160 (c) –1120 (d) Cannot be determined
A tap can fill a drum in 60 minutes. When it has been open for 20 minutes, a hole is made at the bottom of the drum to drain the water away. The drum is filled after a further period of 120 minutes. In how many minutes can the hole alone empty the entire drum?\
ANS: 90
PLZ PROVIDE THE APPROACH
If the roots of the equation ax3 + bx2 + cx + d = 0 are in Geometric Progression, then which of the following relations is true?
(a) a*c^2 = b^2*d(b) a*c^3 = b^3*d (c) a^2*c = b*d^2 (d) a^3*c = b*d^3
Nimai and Nitai start running simultaneously from opposite ends (T and G) of a 100m straight racing track with speeds of 4m/s and 2.5m/s respectively. They turn instantaneously at ends without losing time. Further they interchange their speed and direction whenever they meet along the racing track. After how much time of start they both would meet for the third time?
- 66.66s
- 46.16s
- 54.33s
- 76.93s
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Ramesh bought a total of 6 fruits (apples and oranges) from the market. He found that he required one orange less to extract the same quantity of juice as extracted from apples. If Ramesh had used the same number of apples and oranges to make the blend, then which of the following correctly represents the percentage of apple juice in the blend?
1)25% 2) 33.3% 3)60% 4)66.6%
Rajeev and sanjeev are two close friends Rajeev's watch gains 1 minute per hour and sanjeev watch looses 2 minutes in an hour .once they were set at 12:00 noon with my correct watch .when will the two incorrect watches of rajeev and sanjeev show the same time together ?......please explain your process . .

Sara has just joined Facebook. She has 5 friends. Each of her 5 friends has 25 friends. It is found that at least two of Sara's friends are connected with each other. On her birthday, Sara decides to invite her friends and the friends of her friends. How many people did she invite for the birthday party?
a)>= 105
b)c)d)>=100 and e)>=105 and
p and q start running simultaneously one from point a to b and the second from point b to point a.p's speed is 6/5th of q's speed.if after crossing q,p takes 21/2 hours to reach b,how much time does q take to reach a after crossing p?
(a)3.36 min
(b)3.48 min
(c)4.12 min
(d)none of these
The no. of ways of factorizing 91,000 into 2 factors , m and n ,such that m>1,n>1 and gcd (m,n)=1 is a.7 b.15 c.31 d.none of these
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Q4
when an article is sold for 703 loss incurred is 25% less than the profit earned on selling it at 836. what is the selling price when it earns a profit of 20% ?
plz explain
what values of x satisfy (x^2/3)+(X^1/3)-2
- -8<=x<=8
- -1<=x<=8
- -8<=x<=1
- 1<x>&lt;8</x>
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a car after travelling a distance of 110 km develops the problem in engine and proceeds at 3/4 th of its former speed and arrives the destination 60 min late . had the problem developed 30km further on the car would have arrived 12 min sooner find the originalspeed of car.
a.45km/hr b.60km/hr c.50km/hr d.none of these
How to find coefficient of X^100 in (1+x^2+x^4+..........)(1+x^3+x^6+......)(1+x^4+x^8+............)