Julian and Cole started jogging from the same point. Cole started jogging 2 minutes earlier than Julian. Julian's jogging speed was 400 m/min and Cole'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 Cole?
- What distance would Cole have jogged when Julian caught up with him? Express your answer in meters.
|
Julian |
Cole |
Speed |
400 m/min |
300 m/min |
Start time |
|
2 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that Cole covered when he jogged 2 minutes earlier
= 2 x 300
= 600 m
Distance that Julian covered more than Cole per min
= 400 - 300
= 100 m
Time that Julian needed to take to cover the additional 600 m
= 600 ÷ 100
= 6 min
(b)
Time that Cole would had jogged when Julian caught up with him
= 6 + 2
= 8 min
Distance that Cole would have jogged when Julian caught up with him
= 8 x 300
= 2400 m
Answer(s): (a) 6 min; (b) 2400 m