Latest Others Aptitude Question SOLUTION: Q. In a 100m race, if A gives B a start of 20m then A wins the race by 5 sec. If A gives B a start of 40m the race ends in a dead heat. How long does A takes to run 200m?

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Q. In a 100m race, if A gives B a start of 20m then A wins the race by 5 sec. If A gives B a start of 40m the race ends in a dead heat. How long does A takes to run 200m?

Asked In Others Siba Kumar Sahu (10 years ago)

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Siba Kumar Sahu  (10 years ago)

sorry Mr. LSINDHU i found the answer and the concept that you have applied here is little bit wrong.
the answer is here

Let time taken by A to comple race= t sec for 100m
speed of A = 100/t

then time taken by B = t+5 sec for 80m
in case 2 the time taken by B to complete 60m will be (t+5)*60/80 =3(t+5)/4 sec

so time taken by A to complete 100m is also 3(t+5)/4 sec as both of them reached at same time in case2

in both the case A has run 100m. and time taken to cover is also same as his speed does not change.
so equating the time in both case we get
t = 3(t+5)/4
=> 4t = 3t + 15
=> 4t-3t = 15
=>t=15 sec.
so time taken to cover 100m by A is 15 sec.
so time taken to cover 200m by A is 15*2 = 30 sec. (ans)

hope, you like my solution friend

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lsindhu  (10 years ago)

the question simply means that a beats b by 20m or 5sec.
so a takes 50sec to run 200m.

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