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A and B walk from P to Q a dsitance of 42 miles at 3mph and [#permalink]
12 Feb 2004, 14:15

A and B walk from P to Q a dsitance of 42 miles at 3mph and 4 mph respectively . B reaches Q returns immediately and meets A at R .Find the distance from P to R..?
14
28
18
36 _________________

A and B are moving in the same direction...
B would take 10.5 hours to reach Q...(42/4)
Meanwhile A would have travelled 31.5 miles... (10.5*3)
B turns back....

A
31.5
34.5 (After 1 hour)
36 (After 1/2 hour)

B
42
38 (After 1 hour)
36 (After 1/2 hour)

Vivek. _________________

"Start By Doing What Is Necessary ,Then What Is Possible & Suddenly You Will Realise That You Are Doing The Impossible"

Well I will continue half way from Vivek's solution. When B has reached the 42 mile mark, A has travelled 31.5 miles. The difference between them is 10.5 miles. 10.5/(add their speeds) * speed of A. So (10.5/7) * 3 = 4.5 miles. So they would meet at 31.5+4.5 = 36 miles. Does it helps Subhangi?