Michael and Sean started jogging from the same point. Sean started jogging 5 minutes earlier than Michael. Michael'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 Michael to catch up with Sean?
- What distance would Sean have jogged when Michael caught up with him? Express your answer in meters.
|
Michael |
Sean |
Speed |
350 m/min |
300 m/min |
Start time |
|
5 min earlier |
Extra distance covered at first |
|
1500 m |
(a)
Distance that Sean covered when he jogged 5 minutes earlier
= 5 x 300
= 1500 m
Distance that Michael covered more than Sean per min
= 350 - 300
= 50 m
Time that Michael needed to take to cover the additional 1500 m
= 1500 ÷ 50
= 30 min
(b)
Time that Sean would had jogged when Michael caught up with him
= 30 + 5
= 35 min
Distance that Sean would have jogged when Michael caught up with him
= 35 x 300
= 10500 m
Answer(s): (a) 30 min; (b) 10500 m