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Question of the Day | Quant #35

Question of the Day | Quant #35

Question of the Day

Quant #35

Ques. In a 100m race, if Angad gives Bibhishan a start of 20m, then Angad wins the race by 5sec. Alternatively, if Angad gives Bibhishan a start of 40m the race ends in dead heat. How long does Angad take to run the 200m race?

1) 10 sec

2) 20 sec

3) 30 sec

4) 40 sec

 Option (3)

Let a and b be the speeds of Angad and Bibhishan, respectively.
(a/100) + 5 = 80/b     ………………….(i)
a/100 = 60/b               ………………….(ii)
Solving both equations (i) &  (ii) we get, b = 4 and a = 100/15
Hence Angad will take (200*15/100) = 30 sec to complete the race.

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