Owen and Cole started jogging from the same point. Cole started jogging 10 minutes earlier than Owen. Owen's jogging speed was 450 m/min and Cole'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 Owen to catch up with Cole?
- What distance would Cole have jogged when Owen caught up with him? Express your answer in meters.
|
Owen |
Cole |
Speed |
450 m/min |
150 m/min |
Start time |
|
10 min earlier |
Extra distance covered at first |
|
1500 m |
(a)
Distance that Cole covered when he jogged 10 minutes earlier
= 10 x 150
= 1500 m
Distance that Owen covered more than Cole per min
= 450 - 150
= 300 m
Time that Owen needed to take to cover the additional 1500 m
= 1500 ÷ 300
= 5 min
(b)
Time that Cole would had jogged when Owen caught up with him
= 5 + 10
= 15 min
Distance that Cole would have jogged when Owen caught up with him
= 15 x 150
= 2250 m
Answer(s): (a) 5 min; (b) 2250 m