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.

• ans is 6.3 min
• 12 years agoHelpfull: Yes(29) No(14)
• A takes 52.5 minutes to complete the race.
  
  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 = 52.5
• 14 years agoHelpfull: Yes(22) No(12)
• Total journey= 440 ×× 2=880
  
  A meet B 20 yards from top in getting down it means he has covered 440+20=460 yards while B is 420 yards.so he is 40 yards ahead of B which is equals to 5 minute.
  
  so 40 yards in 5 min
  
  880 yards will be in 5 ×× 880/ (40) =110 minute.
• 6 years agoHelpfull: Yes(3) No(0)
• 27.5
• 14 years agoHelpfull: Yes(2) No(8)
• Length of the Road = 440 Yards. [one side]
  A covers 460 yards when B covers 420 yards.
  When A covers 880 yards B covers (420/460) * 880 yards.
  B covers (1 - 21/23) * 880 yards in 5 minutes.
  B covers 880 yards in 5*23/2 = 57.5 minutes.
  Thus A covers the distance in 52.5 minutes.
• 10 years agoHelpfull: Yes(2) No(1)
• When A run 460 (420+20) then B run 420
  Ratio of thier speed is 460 : 420 => 23:21
  Difference is 2x which means 2 X 40 = 80 yard
  A is ahead of B by 80 yard or 5mins
  Calculating, 840/80 = 10.5 ......... 10.5 X 5 = 52.5 mins
  Hopefully it is correct
• 6 years agoHelpfull: Yes(1) No(0)
• ans is
  22 min
• 6 years agoHelpfull: Yes(0) No(1)
• Total journey= 440 × 2=880
  
  A meet B 20 yards from top in getting down it means he has covered 440+20=460 yards while B is 420 yards.so he is 40 yards ahead of B which is equals to 5 minute.
  
  so 40 yards in 5 min
  
  880 yards will be in 5 × 880/ (40) =110 minute.
  ans is 110 min
• 6 years agoHelpfull: Yes(0) No(2)
• 55mins becz
  while A coming back he met B at 20 yards frm top .and A finished 5 mins before so...
  at 20 yards diff he reached earlier at 5 mins
  thn FOR 440 its 55 mins
• 5 years agoHelpfull: Yes(0) No(1)