Charlie and Ben started jogging from the same point. Ben started jogging 10 minutes earlier than Charlie. Charlie's jogging speed was 200 m/min and Ben'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 Charlie to catch up with Ben?
- What distance would Ben have jogged when Charlie caught up with him? Express your answer in meters.
|
Charlie |
Ben |
Speed |
200 m/min |
150 m/min |
Start time |
|
10 min earlier |
Extra distance covered at first |
|
1500 m |
(a)
Distance that Ben covered when he jogged 10 minutes earlier
= 10 x 150
= 1500 m
Distance that Charlie covered more than Ben per min
= 200 - 150
= 50 m
Time that Charlie needed to take to cover the additional 1500 m
= 1500 ÷ 50
= 30 min
(b)
Time that Ben would had jogged when Charlie caught up with him
= 30 + 10
= 40 min
Distance that Ben would have jogged when Charlie caught up with him
= 40 x 150
= 6000 m
Answer(s): (a) 30 min; (b) 6000 m