2 frnds A n B running up hill and then to get down length of road-440 yads A on his return journey met B going up at 20 yards from top if A has finished race 5 minute earlier than B then how much time A had taken to complete the race

• 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
• 10 years agoHelpfull: Yes(23) No(6)
• the ratio is 23/21 and not 23/22
  so the ans will be 52.5 mins.
• 11 years agoHelpfull: Yes(20) No(5)
• let it take t minutes to meet each other at 20yards from top
  at that time a covers 460 yards & b covers 420 yards
  let speeds be s1&s2 and t1&t2 are the times taken to complete the race
  equating time; (460/s1)=(420/s2)
  => s1/s2= 23/22.........(1)
  
  given b takes 5 more minutes than a
  i.e t1+5=t2
  finally they cover same distance
  so s1*t1= s2*t2
  = s2*(t1+5)
  (s1/s2)=(t1+5)/t1
  from 1
  (t1+5)/t1= 23/22
  
  solving t1= 110 minutes
  
  
• 11 years agoHelpfull: Yes(16) No(9)
• Time taken by B to cover 40 yads (20up + 20down) = 5 minutes
  
  Therefore,Time Taken to complete 880 yads by B = 110 minutes.
  
  so time taken by A to complete to 880yads = 105 mintues
• 10 years agoHelpfull: Yes(2) No(8)
• 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
• 8 years agoHelpfull: Yes(1) No(0)