Michael and Paul started jogging from the same point. Paul started jogging 6 minutes earlier than Michael. Michael's jogging speed was 450 m/min and Paul'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 Michael to catch up with Paul?
- What distance would Paul have jogged when Michael caught up with him? Express your answer in meters.
|
Michael |
Paul |
Speed |
450 m/min |
150 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
900 m |
(a)
Distance that Paul covered when he jogged 6 minutes earlier
= 6 x 150
= 900 m
Distance that Michael covered more than Paul per min
= 450 - 150
= 300 m
Time that Michael needed to take to cover the additional 900 m
= 900 ÷ 300
= 3 min
(b)
Time that Paul would had jogged when Michael caught up with him
= 3 + 6
= 9 min
Distance that Paul would have jogged when Michael caught up with him
= 9 x 150
= 1350 m
Answer(s): (a) 3 min; (b) 1350 m