John and Lee started jogging from the same point. Lee started jogging 10 minutes earlier than John. John's jogging speed was 300 m/min and Lee'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 John to catch up with Lee?
- What distance would Lee have jogged when John caught up with him? Express your answer in meters.
|
John |
Lee |
Speed |
300 m/min |
150 m/min |
Start time |
|
10 min earlier |
Extra distance covered at first |
|
1500 m |
(a)
Distance that Lee covered when he jogged 10 minutes earlier
= 10 x 150
= 1500 m
Distance that John covered more than Lee per min
= 300 - 150
= 150 m
Time that John needed to take to cover the additional 1500 m
= 1500 ÷ 150
= 10 min
(b)
Time that Lee would had jogged when John caught up with him
= 10 + 10
= 20 min
Distance that Lee would have jogged when John caught up with him
= 20 x 150
= 3000 m
Answer(s): (a) 10 min; (b) 3000 m