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