Bobby and Carl started jogging from the same point. Carl started jogging 3 minutes earlier than Bobby. Bobby's jogging speed was 500 m/min and Carl'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 Bobby to catch up with Carl?
- What distance would Carl have jogged when Bobby caught up with him? Express your answer in meters.
|
Bobby |
Carl |
Speed |
500 m/min |
200 m/min |
Start time |
|
3 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that Carl covered when he jogged 3 minutes earlier
= 3 x 200
= 600 m
Distance that Bobby covered more than Carl per min
= 500 - 200
= 300 m
Time that Bobby needed to take to cover the additional 600 m
= 600 ÷ 300
= 2 min
(b)
Time that Carl would had jogged when Bobby caught up with him
= 2 + 3
= 5 min
Distance that Carl would have jogged when Bobby caught up with him
= 5 x 200
= 1000 m
Answer(s): (a) 2 min; (b) 1000 m