Carl and Reggie started jogging from the same point. Reggie started jogging 7 minutes earlier than Carl. Carl's jogging speed was 200 m/min and Reggie's jogging speed was 150 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Carl to catch up with Reggie?
- What distance would Reggie have jogged when Carl caught up with him? Express your answer in meters.
|
Carl |
Reggie |
Speed |
200 m/min |
150 m/min |
Start time |
|
7 min earlier |
Extra distance covered at first |
|
1050 m |
(a)
Distance that Reggie covered when he jogged 7 minutes earlier
= 7 x 150
= 1050 m
Distance that Carl covered more than Reggie per min
= 200 - 150
= 50 m
Time that Carl needed to take to cover the additional 1050 m
= 1050 ÷ 50
= 21 min
(b)
Time that Reggie would had jogged when Carl caught up with him
= 21 + 7
= 28 min
Distance that Reggie would have jogged when Carl caught up with him
= 28 x 150
= 4200 m
Answer(s): (a) 21 min; (b) 4200 m