Pamela and Reggie started running together along a cross country track. When Reggie completed the track in 28 minutes, Pamela had run only
13 of the track. Pamela’s average speed was 112 m/min slower than Reggie’s.
- How long was the cross country track in m?
- Find Pamela’s average speed in m/min.
(a)
When Reggie completed the track:
Reggie's distance = 3 u
Pamela's distance = 1 u
Extra distance covered by Reggie
= 3 u - 1 u
= 2 u
2 u = 112 x 28
2 u = 3136
1 u = 3136 ÷ 2 = 1568
Distance of the cross country track
= 3 u
= 3 x 1568
= 4704 m
(b)
Reggie's speed
= 4704 ÷ 28
= 168 m/min
Pamela's speed
= 168 - 112
= 56 m/min
Answer(s): (a) 4704 m; (b) 56 m/min