Speed P6

The distance around the perimeter of a reservoir is 5.52 km. Rick and Reuben started walking from the same point but in the opposite direction round the reservoir. Rick's speed was 25 m/min and he rested for 5 minutes after every 35 minutes. Reuben's speed was 35 m/min and he rested for 15 minutes after every 45 minutes. How long did it take both of them to meet again?


25 x 35 = 875 m

25 x 25 = 625 m

35 x 45 = 1575 m

Ri  [ 875 ]    [ 875 ]    [625]
     !____!__!____ !__!___!
Time 35     5    35    5   25   (105 min)

Re [  1575  ]        [  1575  ]
     !______!_____!______!
Time  45        15       45       (105 min)

875 + 875 +625 + 1575 + 1575 = 5525 m

5525 - 5520 = 5 m

25 + 35 = 60 m/min

5 ÷ 60 = 1/12  min
           = 5 s

105 min - 5 s = 104 min 55 s
                     = 1 h 44 min 55 s

It took 1h 44 min 55 s for both of them to meet again.