Daniel and Oliver started jogging from the same point. Oliver started jogging 2 minutes earlier than Daniel. Daniel's jogging speed was 250 m/min and Oliver'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 Daniel to catch up with Oliver?
- What distance would Oliver have jogged when Daniel caught up with him? Express your answer in meters.
|
Daniel |
Oliver |
Speed |
250 m/min |
200 m/min |
Start time |
|
2 min earlier |
Extra distance covered at first |
|
400 m |
(a)
Distance that Oliver covered when he jogged 2 minutes earlier
= 2 x 200
= 400 m
Distance that Daniel covered more than Oliver per min
= 250 - 200
= 50 m
Time that Daniel needed to take to cover the additional 400 m
= 400 ÷ 50
= 8 min
(b)
Time that Oliver would had jogged when Daniel caught up with him
= 8 + 2
= 10 min
Distance that Oliver would have jogged when Daniel caught up with him
= 10 x 200
= 2000 m
Answer(s): (a) 8 min; (b) 2000 m