Henry and Ben started jogging from the same point. Ben started jogging 3 minutes earlier than Henry. Henry's jogging speed was 400 m/min and Ben's jogging speed was 250 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Henry to catch up with Ben?
- What distance would Ben have jogged when Henry caught up with him? Express your answer in meters.
|
Henry |
Ben |
Speed |
400 m/min |
250 m/min |
Start time |
|
3 min earlier |
Extra distance covered at first |
|
750 m |
(a)
Distance that Ben covered when he jogged 3 minutes earlier
= 3 x 250
= 750 m
Distance that Henry covered more than Ben per min
= 400 - 250
= 150 m
Time that Henry needed to take to cover the additional 750 m
= 750 ÷ 150
= 5 min
(b)
Time that Ben would had jogged when Henry caught up with him
= 5 + 3
= 8 min
Distance that Ben would have jogged when Henry caught up with him
= 8 x 250
= 2000 m
Answer(s): (a) 5 min; (b) 2000 m