Xavier and Riordan started jogging from the same point. Riordan started jogging 6 minutes earlier than Xavier. Xavier's jogging speed was 300 m/min and Riordan'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 Xavier to catch up with Riordan?
- What distance would Riordan have jogged when Xavier caught up with him? Express your answer in meters.
|
Xavier |
Riordan |
Speed |
300 m/min |
200 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
1200 m |
(a)
Distance that Riordan covered when he jogged 6 minutes earlier
= 6 x 200
= 1200 m
Distance that Xavier covered more than Riordan per min
= 300 - 200
= 100 m
Time that Xavier needed to take to cover the additional 1200 m
= 1200 ÷ 100
= 12 min
(b)
Time that Riordan would had jogged when Xavier caught up with him
= 12 + 6
= 18 min
Distance that Riordan would have jogged when Xavier caught up with him
= 18 x 200
= 3600 m
Answer(s): (a) 12 min; (b) 3600 m