Charlie and Tim started jogging from the same point. Tim started jogging 10 minutes earlier than Charlie. Charlie's jogging speed was 450 m/min and Tim'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 Charlie to catch up with Tim?
- What distance would Tim have jogged when Charlie caught up with him? Express your answer in meters.
|
Charlie |
Tim |
Speed |
450 m/min |
300 m/min |
Start time |
|
10 min earlier |
Extra distance covered at first |
|
3000 m |
(a)
Distance that Tim covered when he jogged 10 minutes earlier
= 10 x 300
= 3000 m
Distance that Charlie covered more than Tim per min
= 450 - 300
= 150 m
Time that Charlie needed to take to cover the additional 3000 m
= 3000 ÷ 150
= 20 min
(b)
Time that Tim would had jogged when Charlie caught up with him
= 20 + 10
= 30 min
Distance that Tim would have jogged when Charlie caught up with him
= 30 x 300
= 9000 m
Answer(s): (a) 20 min; (b) 9000 m