Jack and Ben started jogging from the same point. Ben started jogging 4 minutes earlier than Jack. Jack's jogging speed was 500 m/min and Ben'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 Jack to catch up with Ben?
- What distance would Ben have jogged when Jack caught up with him? Express your answer in meters.
|
Jack |
Ben |
Speed |
500 m/min |
100 m/min |
Start time |
|
4 min earlier |
Extra distance covered at first |
|
400 m |
(a)
Distance that Ben covered when he jogged 4 minutes earlier
= 4 x 100
= 400 m
Distance that Jack covered more than Ben per min
= 500 - 100
= 400 m
Time that Jack needed to take to cover the additional 400 m
= 400 ÷ 400
= 1 min
(b)
Time that Ben would had jogged when Jack caught up with him
= 1 + 4
= 5 min
Distance that Ben would have jogged when Jack caught up with him
= 5 x 100
= 500 m
Answer(s): (a) 1 min; (b) 500 m