Charlie and Fred started jogging from the same point. Fred started jogging 4 minutes earlier than Charlie. Charlie's jogging speed was 250 m/min and Fred's jogging speed was 200 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 Fred?
- What distance would Fred have jogged when Charlie caught up with him? Express your answer in meters.
|
Charlie |
Fred |
Speed |
250 m/min |
200 m/min |
Start time |
|
4 min earlier |
Extra distance covered at first |
|
800 m |
(a)
Distance that Fred covered when he jogged 4 minutes earlier
= 4 x 200
= 800 m
Distance that Charlie covered more than Fred per min
= 250 - 200
= 50 m
Time that Charlie needed to take to cover the additional 800 m
= 800 ÷ 50
= 16 min
(b)
Time that Fred would had jogged when Charlie caught up with him
= 16 + 4
= 20 min
Distance that Fred would have jogged when Charlie caught up with him
= 20 x 200
= 4000 m
Answer(s): (a) 16 min; (b) 4000 m