Jeremy and Tim started jogging from the same point. Tim started jogging 4 minutes earlier than Jeremy. Jeremy's jogging speed was 250 m/min and Tim's jogging speed was 150 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 Tim?
- What distance would Tim have jogged when Jeremy caught up with him? Express your answer in meters.
|
Jeremy |
Tim |
Speed |
250 m/min |
150 m/min |
Start time |
|
4 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that Tim covered when he jogged 4 minutes earlier
= 4 x 150
= 600 m
Distance that Jeremy covered more than Tim per min
= 250 - 150
= 100 m
Time that Jeremy needed to take to cover the additional 600 m
= 600 ÷ 100
= 6 min
(b)
Time that Tim would had jogged when Jeremy caught up with him
= 6 + 4
= 10 min
Distance that Tim would have jogged when Jeremy caught up with him
= 10 x 150
= 1500 m
Answer(s): (a) 6 min; (b) 1500 m