Q.The distance between two cities A and B is 100 km and the speed of Ram and Rahim are 50 km/h and 30 km/h respectively. Initially Ram is at A and Rahim is at B. If they move between A and B to and fro, then the distance (in kms) covered by Ram by the time they meet for the 3rd time would be?
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Answer:
250
At start, Ram is at A and Anuj is at B.
After 1st meeting, Anuj will travel 25*4 = 100 km and Ram will travel 15*4 = 60 km.
Now, Ram is 40 km away from B, and Anuj is at A.
After 2nd meeting, Anuj will reach B and Ram will now be 20 km from B, after travelling 60 kms.
Now, using relative speed concept. Let's assume Ram's speed 0 km/h and Anuj's speed = (25 - 15) km/hr = 10 km/h
The time required for 20 km = 2 hours.
Hence, finally Anuj will take (25*2)kms more till 3rd meeting.
Therefore, the final distance will be = 100 + 100 + 50 = 250 kms.
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