Julian and Liam started jogging from the same point. Liam started jogging 5 minutes earlier than Julian. Julian's jogging speed was 350 m/min and Liam's jogging speed was 300 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Julian to catch up with Liam?
- What distance would Liam have jogged when Julian caught up with him? Express your answer in meters.
|
Julian |
Liam |
Speed |
350 m/min |
300 m/min |
Start time |
|
5 min earlier |
Extra distance covered at first |
|
1500 m |
(a)
Distance that Liam covered when he jogged 5 minutes earlier
= 5 x 300
= 1500 m
Distance that Julian covered more than Liam per min
= 350 - 300
= 50 m
Time that Julian needed to take to cover the additional 1500 m
= 1500 ÷ 50
= 30 min
(b)
Time that Liam would had jogged when Julian caught up with him
= 30 + 5
= 35 min
Distance that Liam would have jogged when Julian caught up with him
= 35 x 300
= 10500 m
Answer(s): (a) 30 min; (b) 10500 m