Jeremy and Sean started jogging from the same point. Sean started jogging 10 minutes earlier than Jeremy. Jeremy's jogging speed was 350 m/min and Sean'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 Jeremy to catch up with Sean?
- What distance would Sean have jogged when Jeremy caught up with him? Express your answer in meters.
|
Jeremy |
Sean |
Speed |
350 m/min |
300 m/min |
Start time |
|
10 min earlier |
Extra distance covered at first |
|
3000 m |
(a)
Distance that Sean covered when he jogged 10 minutes earlier
= 10 x 300
= 3000 m
Distance that Jeremy covered more than Sean per min
= 350 - 300
= 50 m
Time that Jeremy needed to take to cover the additional 3000 m
= 3000 ÷ 50
= 60 min
(b)
Time that Sean would had jogged when Jeremy caught up with him
= 60 + 10
= 70 min
Distance that Sean would have jogged when Jeremy caught up with him
= 70 x 300
= 21000 m
Answer(s): (a) 60 min; (b) 21000 m