Aptitude | Race | Question 1

Ram and Shyam participate in a race of 200m. If Ram starts when Shyam has covered 25 meters, then Ram finishes the race 10 seconds before Shyam and if Ram starts when Shyam has covered 45 meters then both finish the race at the same time. How long does Ram take to run 200m?
(A) 120
(B) 77.5
(C) 87.2
(D) 100


Answer: (B)

Explanation: Let time taken by Ram be Tr seconds to cover 200m.  

For first case, Shyam will be covering 175m in (Tr+10)sec (As it is given that Ram takes 10sec less than Shyam)

So speed of Shyam is (175/Tr+10) m/s.  

For second case, Shyam will take Tr seconds to cover 155m (200-45)  

so speed of Ram is (155/Tr) m/s  

Equating both speed of Ram we get 175Tr = 155(Tr+10) => Tr=77.5 s  

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