Oliver and Eric started jogging from the same point. Eric started jogging 8 minutes earlier than Oliver. Oliver's jogging speed was 200 m/min and Eric's jogging speed was 100 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Oliver to catch up with Eric?
- What distance would Eric have jogged when Oliver caught up with him? Express your answer in meters.
|
Oliver |
Eric |
Speed |
200 m/min |
100 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
800 m |
(a)
Distance that Eric covered when he jogged 8 minutes earlier
= 8 x 100
= 800 m
Distance that Oliver covered more than Eric per min
= 200 - 100
= 100 m
Time that Oliver needed to take to cover the additional 800 m
= 800 ÷ 100
= 8 min
(b)
Time that Eric would had jogged when Oliver caught up with him
= 8 + 8
= 16 min
Distance that Eric would have jogged when Oliver caught up with him
= 16 x 100
= 1600 m
Answer(s): (a) 8 min; (b) 1600 m