Oliver and Charlie started jogging from the same point. Charlie started jogging 8 minutes earlier than Oliver. Oliver's jogging speed was 300 m/min and Charlie'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 Charlie?
- What distance would Charlie have jogged when Oliver caught up with him? Express your answer in meters.
|
Oliver |
Charlie |
Speed |
300 m/min |
100 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
800 m |
(a)
Distance that Charlie covered when he jogged 8 minutes earlier
= 8 x 100
= 800 m
Distance that Oliver covered more than Charlie per min
= 300 - 100
= 200 m
Time that Oliver needed to take to cover the additional 800 m
= 800 ÷ 200
= 4 min
(b)
Time that Charlie would had jogged when Oliver caught up with him
= 4 + 8
= 12 min
Distance that Charlie would have jogged when Oliver caught up with him
= 12 x 100
= 1200 m
Answer(s): (a) 4 min; (b) 1200 m