Riordan and Oliver started jogging from the same point. Oliver started jogging 10 minutes earlier than Riordan. Riordan's jogging speed was 450 m/min and Oliver's jogging speed was 300 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Riordan to catch up with Oliver?
- What distance would Oliver have jogged when Riordan caught up with him? Express your answer in meters.
|
Riordan |
Oliver |
Speed |
450 m/min |
300 m/min |
Start time |
|
10 min earlier |
Extra distance covered at first |
|
3000 m |
(a)
Distance that Oliver covered when he jogged 10 minutes earlier
= 10 x 300
= 3000 m
Distance that Riordan covered more than Oliver per min
= 450 - 300
= 150 m
Time that Riordan needed to take to cover the additional 3000 m
= 3000 ÷ 150
= 20 min
(b)
Time that Oliver would had jogged when Riordan caught up with him
= 20 + 10
= 30 min
Distance that Oliver would have jogged when Riordan caught up with him
= 30 x 300
= 9000 m
Answer(s): (a) 20 min; (b) 9000 m