Daniel and Liam started jogging from the same point. Liam started jogging 4 minutes earlier than Daniel. Daniel's jogging speed was 300 m/min and Liam'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 Daniel to catch up with Liam?
- What distance would Liam have jogged when Daniel caught up with him? Express your answer in meters.
|
Daniel |
Liam |
Speed |
300 m/min |
150 m/min |
Start time |
|
4 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that Liam covered when he jogged 4 minutes earlier
= 4 x 150
= 600 m
Distance that Daniel covered more than Liam per min
= 300 - 150
= 150 m
Time that Daniel needed to take to cover the additional 600 m
= 600 ÷ 150
= 4 min
(b)
Time that Liam would had jogged when Daniel caught up with him
= 4 + 4
= 8 min
Distance that Liam would have jogged when Daniel caught up with him
= 8 x 150
= 1200 m
Answer(s): (a) 4 min; (b) 1200 m