Liam and Gabriel started jogging from the same point. Gabriel started jogging 6 minutes earlier than Liam. Liam's jogging speed was 250 m/min and Gabriel'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 Gabriel?
- What distance would Gabriel have jogged when Liam caught up with him? Express your answer in meters.
|
Liam |
Gabriel |
Speed |
250 m/min |
100 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that Gabriel covered when he jogged 6 minutes earlier
= 6 x 100
= 600 m
Distance that Liam covered more than Gabriel per min
= 250 - 100
= 150 m
Time that Liam needed to take to cover the additional 600 m
= 600 ÷ 150
= 4 min
(b)
Time that Gabriel would had jogged when Liam caught up with him
= 4 + 6
= 10 min
Distance that Gabriel would have jogged when Liam caught up with him
= 10 x 100
= 1000 m
Answer(s): (a) 4 min; (b) 1000 m