Reggie and Riordan started jogging from the same point. Riordan started jogging 7 minutes earlier than Reggie. Reggie's jogging speed was 400 m/min and Riordan's jogging speed was 300 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Reggie to catch up with Riordan?
- What distance would Riordan have jogged when Reggie caught up with him? Express your answer in meters.
|
Reggie |
Riordan |
Speed |
400 m/min |
300 m/min |
Start time |
|
7 min earlier |
Extra distance covered at first |
|
2100 m |
(a)
Distance that Riordan covered when he jogged 7 minutes earlier
= 7 x 300
= 2100 m
Distance that Reggie covered more than Riordan per min
= 400 - 300
= 100 m
Time that Reggie needed to take to cover the additional 2100 m
= 2100 ÷ 100
= 21 min
(b)
Time that Riordan would had jogged when Reggie caught up with him
= 21 + 7
= 28 min
Distance that Riordan would have jogged when Reggie caught up with him
= 28 x 300
= 8400 m
Answer(s): (a) 21 min; (b) 8400 m