Liam and Lee started jogging from the same point. Lee started jogging 8 minutes earlier than Liam. Liam's jogging speed was 500 m/min and Lee's jogging speed was 100 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Liam to catch up with Lee?
- What distance would Lee have jogged when Liam caught up with him? Express your answer in meters.
|
Liam |
Lee |
Speed |
500 m/min |
100 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
800 m |
(a)
Distance that Lee covered when he jogged 8 minutes earlier
= 8 x 100
= 800 m
Distance that Liam covered more than Lee per min
= 500 - 100
= 400 m
Time that Liam needed to take to cover the additional 800 m
= 800 ÷ 400
= 2 min
(b)
Time that Lee would had jogged when Liam caught up with him
= 2 + 8
= 10 min
Distance that Lee would have jogged when Liam caught up with him
= 10 x 100
= 1000 m
Answer(s): (a) 2 min; (b) 1000 m