Albert and John started jogging from the same point. John started jogging 4 minutes earlier than Albert. Albert's jogging speed was 250 m/min and John's jogging speed was 150 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Albert to catch up with John?
- What distance would John have jogged when Albert caught up with him? Express your answer in meters.
|
Albert |
John |
Speed |
250 m/min |
150 m/min |
Start time |
|
4 min earlier |
Extra distance covered at first |
|
600 m |
(a)
Distance that John covered when he jogged 4 minutes earlier
= 4 x 150
= 600 m
Distance that Albert covered more than John per min
= 250 - 150
= 100 m
Time that Albert needed to take to cover the additional 600 m
= 600 ÷ 100
= 6 min
(b)
Time that John would had jogged when Albert caught up with him
= 6 + 4
= 10 min
Distance that John would have jogged when Albert caught up with him
= 10 x 150
= 1500 m
Answer(s): (a) 6 min; (b) 1500 m