Riordan and Asher started jogging from the same point. Asher started jogging 7 minutes earlier than Riordan. Riordan's jogging speed was 300 m/min and Asher'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 Riordan to catch up with Asher?
- What distance would Asher have jogged when Riordan caught up with him? Express your answer in meters.
|
Riordan |
Asher |
Speed |
300 m/min |
200 m/min |
Start time |
|
7 min earlier |
Extra distance covered at first |
|
1400 m |
(a)
Distance that Asher covered when he jogged 7 minutes earlier
= 7 x 200
= 1400 m
Distance that Riordan covered more than Asher per min
= 300 - 200
= 100 m
Time that Riordan needed to take to cover the additional 1400 m
= 1400 ÷ 100
= 14 min
(b)
Time that Asher would had jogged when Riordan caught up with him
= 14 + 7
= 21 min
Distance that Asher would have jogged when Riordan caught up with him
= 21 x 200
= 4200 m
Answer(s): (a) 14 min; (b) 4200 m