Nick and Owen started jogging from the same point. Owen started jogging 8 minutes earlier than Nick. Nick's jogging speed was 450 m/min and Owen'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 Nick to catch up with Owen?
- What distance would Owen have jogged when Nick caught up with him? Express your answer in meters.
|
Nick |
Owen |
Speed |
450 m/min |
150 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
1200 m |
(a)
Distance that Owen covered when he jogged 8 minutes earlier
= 8 x 150
= 1200 m
Distance that Nick covered more than Owen per min
= 450 - 150
= 300 m
Time that Nick needed to take to cover the additional 1200 m
= 1200 ÷ 300
= 4 min
(b)
Time that Owen would had jogged when Nick caught up with him
= 4 + 8
= 12 min
Distance that Owen would have jogged when Nick caught up with him
= 12 x 150
= 1800 m
Answer(s): (a) 4 min; (b) 1800 m