Tommy and Paul started jogging from the same point. Paul started jogging 10 minutes earlier than Tommy. Tommy's jogging speed was 400 m/min and Paul's jogging speed was 300 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Tommy to catch up with Paul?
- What distance would Paul have jogged when Tommy caught up with him? Express your answer in meters.
|
Tommy |
Paul |
Speed |
400 m/min |
300 m/min |
Start time |
|
10 min earlier |
Extra distance covered at first |
|
3000 m |
(a)
Distance that Paul covered when he jogged 10 minutes earlier
= 10 x 300
= 3000 m
Distance that Tommy covered more than Paul per min
= 400 - 300
= 100 m
Time that Tommy needed to take to cover the additional 3000 m
= 3000 ÷ 100
= 30 min
(b)
Time that Paul would had jogged when Tommy caught up with him
= 30 + 10
= 40 min
Distance that Paul would have jogged when Tommy caught up with him
= 40 x 300
= 12000 m
Answer(s): (a) 30 min; (b) 12000 m