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A train crosses two people cycling in the same direction in 10 sec and 15 sec respectively. If the speeds of the two cyclists are 9 and 18 km/hr respectively, find the length of the train

A.	105 m	B.	200 m
C.	75 m	D.	None of the above

Answer and Explanation

Answer:75 m

Explanation:
9 km/hr = 9 × 5/18 = 2.5 m/s and 18km/hr = 2 × 2.5 = 5 m/s
Time taken for the train to cross the first cyclist = Length/Relative speed = L/s – 2.5) = 10
L = 10S – 25 =>(1)
Time taken for the train to cross the second cyclist= Length/Relative speed
L / s – 5 = 15
L= 15S – 75 => (2)
(2) – (1)
5S -50= 0
S= 10m/s. substituting the value of S in equation (1), we have
L = 10 × 10 – 25 = 75 m

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