Nick and Justin started jogging from the same point. Justin started jogging 7 minutes earlier than Nick. Nick's jogging speed was 350 m/min and Justin'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 Justin?
- What distance would Justin have jogged when Nick caught up with him? Express your answer in meters.
|
Nick |
Justin |
Speed |
350 m/min |
300 m/min |
Start time |
|
7 min earlier |
Extra distance covered at first |
|
2100 m |
(a)
Distance that Justin covered when he jogged 7 minutes earlier
= 7 x 300
= 2100 m
Distance that Nick covered more than Justin per min
= 350 - 300
= 50 m
Time that Nick needed to take to cover the additional 2100 m
= 2100 ÷ 50
= 42 min
(b)
Time that Justin would had jogged when Nick caught up with him
= 42 + 7
= 49 min
Distance that Justin would have jogged when Nick caught up with him
= 49 x 300
= 14700 m
Answer(s): (a) 42 min; (b) 14700 m