Latest Infosys Aptitude Question SOLUTION: Two friends A and B are running up hill and then to get down! length of road is 440 yards. A on his return journey met B going up at 20 yards from top, A has finished the race 5 mi

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

Asked In Infosys (14 years ago)

Solved Tijo Jose Read Solution (9)

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Read Solution (9) :

JIGNESH  (12 years ago)

ans is 6.3 min

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Tijo Jose  (14 years ago)

A takes 52.5 minutes to complete the race.

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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Deepika  (6 years ago)

Total 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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unni  (14 years ago)

27.5

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Gaurab Kumar Jha  (10 years ago)

Length of the Road = 440 Yards. [one side]
A covers 460 yards when B covers 420 yards.
When A covers 880 yards B covers (420/460) * 880 yards.
B covers (1 - 21/23) * 880 yards in 5 minutes.
B covers 880 yards in 5*23/2 = 57.5 minutes.
Thus A covers the distance in 52.5 minutes.

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ABID ANSARI  (6 years ago)

When A run 460 (420+20) then B run 420
Ratio of thier speed is 460 : 420 => 23:21
Difference is 2x which means 2 X 40 = 80 yard
A is ahead of B by 80 yard or 5mins
Calculating, 840/80 = 10.5 ......... 10.5 X 5 = 52.5 mins
Hopefully it is correct

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Dhyey Shukla  (6 years ago)

ans is
22 min

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Dushyant Paterya  (6 years ago)

Total 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.
ans is 110 min

Is this solution Helpfull? Yes | No (2)  

monica  (5 years ago)

55mins becz
while A coming back he met B at 20 yards frm top .and A finished 5 mins before so...
at 20 yards diff he reached earlier at 5 mins
thn FOR 440 its 55 mins

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