Nick and Ahmad started jogging from the same point. Ahmad started jogging 3 minutes earlier than Nick. Nick's jogging speed was 450 m/min and Ahmad'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 Nick to catch up with Ahmad?
- What distance would Ahmad have jogged when Nick caught up with him? Express your answer in meters.
|
Nick |
Ahmad |
Speed |
450 m/min |
300 m/min |
Start time |
|
3 min earlier |
Extra distance covered at first |
|
900 m |
(a)
Distance that Ahmad covered when he jogged 3 minutes earlier
= 3 x 300
= 900 m
Distance that Nick covered more than Ahmad per min
= 450 - 300
= 150 m
Time that Nick needed to take to cover the additional 900 m
= 900 ÷ 150
= 6 min
(b)
Time that Ahmad would had jogged when Nick caught up with him
= 6 + 3
= 9 min
Distance that Ahmad would have jogged when Nick caught up with him
= 9 x 300
= 2700 m
Answer(s): (a) 6 min; (b) 2700 m