Reggie and Nick started jogging from the same point. Nick started jogging 2 minutes earlier than Reggie. Reggie's jogging speed was 200 m/min and Nick's jogging speed was 100 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 Nick?
- What distance would Nick have jogged when Reggie caught up with him? Express your answer in meters.
|
Reggie |
Nick |
Speed |
200 m/min |
100 m/min |
Start time |
|
2 min earlier |
Extra distance covered at first |
|
200 m |
(a)
Distance that Nick covered when he jogged 2 minutes earlier
= 2 x 100
= 200 m
Distance that Reggie covered more than Nick per min
= 200 - 100
= 100 m
Time that Reggie needed to take to cover the additional 200 m
= 200 ÷ 100
= 2 min
(b)
Time that Nick would had jogged when Reggie caught up with him
= 2 + 2
= 4 min
Distance that Nick would have jogged when Reggie caught up with him
= 4 x 100
= 400 m
Answer(s): (a) 2 min; (b) 400 m