Reggie and Justin started jogging from the same point. Justin started jogging 2 minutes earlier than Reggie. Reggie's jogging speed was 250 m/min and Justin'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 Reggie to catch up with Justin?
- What distance would Justin have jogged when Reggie caught up with him? Express your answer in meters.
|
Reggie |
Justin |
Speed |
250 m/min |
150 m/min |
Start time |
|
2 min earlier |
Extra distance covered at first |
|
300 m |
(a)
Distance that Justin covered when he jogged 2 minutes earlier
= 2 x 150
= 300 m
Distance that Reggie covered more than Justin per min
= 250 - 150
= 100 m
Time that Reggie needed to take to cover the additional 300 m
= 300 ÷ 100
= 3 min
(b)
Time that Justin would had jogged when Reggie caught up with him
= 3 + 2
= 5 min
Distance that Justin would have jogged when Reggie caught up with him
= 5 x 150
= 750 m
Answer(s): (a) 3 min; (b) 750 m