Two friends A and B are running up hill and then to get down! length of road is 440 yards. A on his return journey met B going up at 20 yards from top, A has finished the race 5 minutes earlier than B, then how much time A had taken to complete the race. Choose the correct choice from the following options
A) 51.5minutes	B) 52.5minutes	C) 53.5minutes	D) 54.5minutes	E) 55.5minutes
When A travels 460m (=440+20), B travels 420m (=440-20). So, ratio of speed = 460:420 = 23:21. Let A's speed be 23x, and that of B's be 21x.   23x = ((2*440) / t) which implies 23t = 880/x;   21x = ((2*440) / (t+5)) which implies 21(t+5) = 880/x.   From these two equations, 23t = 21(t+5). Solving, t = 52.5minutes   ANSWER:52.5minutes
<result>B</result>
Two friends A and B are running up hill and then to get down! length of road is 440 yards. A on his return journey met B going up at 20 yards from top, A has finished the race 5 minutes earlier than B, then how much time A had taken to complete the race.