Fred and Paul started jogging from the same point. Paul started jogging 6 minutes earlier than Fred. Fred's jogging speed was 300 m/min and Paul's jogging speed was 200 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Fred to catch up with Paul?
- What distance would Paul have jogged when Fred caught up with him? Express your answer in meters.
|
Fred |
Paul |
Speed |
300 m/min |
200 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
1200 m |
(a)
Distance that Paul covered when he jogged 6 minutes earlier
= 6 x 200
= 1200 m
Distance that Fred covered more than Paul per min
= 300 - 200
= 100 m
Time that Fred needed to take to cover the additional 1200 m
= 1200 ÷ 100
= 12 min
(b)
Time that Paul would had jogged when Fred caught up with him
= 12 + 6
= 18 min
Distance that Paul would have jogged when Fred caught up with him
= 18 x 200
= 3600 m
Answer(s): (a) 12 min; (b) 3600 m