Nick and Eric started jogging from the same point. Eric started jogging 7 minutes earlier than Nick. Nick's jogging speed was 300 m/min and Eric's jogging speed was 250 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 Eric?
- What distance would Eric have jogged when Nick caught up with him? Express your answer in meters.
|
Nick |
Eric |
Speed |
300 m/min |
250 m/min |
Start time |
|
7 min earlier |
Extra distance covered at first |
|
1750 m |
(a)
Distance that Eric covered when he jogged 7 minutes earlier
= 7 x 250
= 1750 m
Distance that Nick covered more than Eric per min
= 300 - 250
= 50 m
Time that Nick needed to take to cover the additional 1750 m
= 1750 ÷ 50
= 35 min
(b)
Time that Eric would had jogged when Nick caught up with him
= 35 + 7
= 42 min
Distance that Eric would have jogged when Nick caught up with him
= 42 x 250
= 10500 m
Answer(s): (a) 35 min; (b) 10500 m