Nick and Pierre started jogging from the same point. Pierre started jogging 2 minutes earlier than Nick. Nick's jogging speed was 300 m/min and Pierre'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 Nick to catch up with Pierre?
- What distance would Pierre have jogged when Nick caught up with him? Express your answer in meters.
|
Nick |
Pierre |
Speed |
300 m/min |
150 m/min |
Start time |
|
2 min earlier |
Extra distance covered at first |
|
300 m |
(a)
Distance that Pierre covered when he jogged 2 minutes earlier
= 2 x 150
= 300 m
Distance that Nick covered more than Pierre per min
= 300 - 150
= 150 m
Time that Nick needed to take to cover the additional 300 m
= 300 ÷ 150
= 2 min
(b)
Time that Pierre would had jogged when Nick caught up with him
= 2 + 2
= 4 min
Distance that Pierre would have jogged when Nick caught up with him
= 4 x 150
= 600 m
Answer(s): (a) 2 min; (b) 600 m