Latest L&T Aptitude Question SOLUTION: Two friends running up hill and get down. length of road is 440 yards. A on his return journey met B going up at 20yards from top. If A has finished 5 minutes earlier than B. Then

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Two friends running up hill and get down. length of road is 440 yards. A on his return journey met B going up at 20yards from top. If A has finished 5 minutes earlier than B. Then how much time A has taken to complete the race

6.2
6.5
6.4
6.3

Asked In L&T apeksha (8 years ago)

Unsolved Read Solution (6)

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Akanksha singh  (8 years ago)

ans is 6.3

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rohit pandey  (8 years ago)

When A travels 460m (=440+20),

B travels 420m (=440-20). So, ratio of speed = 460:420

= 23:21.

Let A's speed be 23x, and that of B's be 21x.

=> 23x = ((2 * 440) / t) which implies 23t = 880/x;

=> 21x = ((2 * 440) / (t+5)) which implies 21(t+5) = 880/x.

From these two equations, 23t = 21(t+5). Solving, t = 52.5

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vijay   (8 years ago)

A .
gains 20 yards over B in it's down the hill journey.
So for entire journey A will have a lead of 40 yards over
B.
now, when A is at destination B is 40 yards behind which B will cover in 5 minutes.
so, by unitary method we get..
For B,
40 yards in 5 minutes
therefore,1 yard in 5/40 minutes
therefore,880 yards in (5/40)*880=110 minutes.
Now b takes 110 minutes
so
A will take 105 minutes.

Is this solution Helpfull? Yes (3) | No (5)  

shubhi gupta  (8 years ago)

PLZ tell me when will be the recruitment drive of L&T?

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apeksha  (8 years ago)

@akansha how??

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Sundaram Bhaskar  (5 years ago)

otal journey= 440 × 2=880

A meet B 20 yards from top in getting down it means he has covered 440+20=460 yards while B is 420 yards.so he is 40 yards ahead of B which is equals to 5 minute.

so 40 yards in 5 min

880 yards will be in 5 × 880/ (40) =110 minute.

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