John and Oliver started jogging from the same point. Oliver started jogging 7 minutes earlier than John. John's jogging speed was 400 m/min and Oliver's jogging speed was 350 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for John to catch up with Oliver?
- What distance would Oliver have jogged when John caught up with him? Express your answer in meters.
|
John |
Oliver |
Speed |
400 m/min |
350 m/min |
Start time |
|
7 min earlier |
Extra distance covered at first |
|
2450 m |
(a)
Distance that Oliver covered when he jogged 7 minutes earlier
= 7 x 350
= 2450 m
Distance that John covered more than Oliver per min
= 400 - 350
= 50 m
Time that John needed to take to cover the additional 2450 m
= 2450 ÷ 50
= 49 min
(b)
Time that Oliver would had jogged when John caught up with him
= 49 + 7
= 56 min
Distance that Oliver would have jogged when John caught up with him
= 56 x 350
= 19600 m
Answer(s): (a) 49 min; (b) 19600 m