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
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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