Question 54

Ravi and Raju started from a same point on a circular track in opposite direction. They met at 11 distinct points. Had they travelled in same direction they would have met at 5 distinct points. If Raju who is fastest amoung two, can travel 1200m in 15 sec, then in what time can Ravi travell the same distance?

Solution

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Let us assume the speeds of Raju and Ravi as kx, ky.

The ratio of their speeds are x:y.

x+y = 11

x-y = 5

x = 8, y=3

We are given that Raju travels 1200m in 15 sec. His speed will be 80 m/s.

kx = 80 => k = 10.

The speed of Ravi is 30m/s. 

Time Ravi takes to travel 1200m will be 40s.

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