Simon and Eric started jogging from the same point. Eric started jogging 3 minutes earlier than Simon. Simon's jogging speed was 450 m/min and Eric'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 Simon to catch up with Eric?
- What distance would Eric have jogged when Simon caught up with him? Express your answer in meters.
|
Simon |
Eric |
Speed |
450 m/min |
300 m/min |
Start time |
|
3 min earlier |
Extra distance covered at first |
|
900 m |
(a)
Distance that Eric covered when he jogged 3 minutes earlier
= 3 x 300
= 900 m
Distance that Simon covered more than Eric per min
= 450 - 300
= 150 m
Time that Simon needed to take to cover the additional 900 m
= 900 ÷ 150
= 6 min
(b)
Time that Eric would had jogged when Simon caught up with him
= 6 + 3
= 9 min
Distance that Eric would have jogged when Simon caught up with him
= 9 x 300
= 2700 m
Answer(s): (a) 6 min; (b) 2700 m