Reggie and Riordan started jogging from the same point. Riordan started jogging 8 minutes earlier than Reggie. Reggie's jogging speed was 200 m/min and Riordan's jogging speed was 100 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Reggie to catch up with Riordan?
- What distance would Riordan have jogged when Reggie caught up with him? Express your answer in meters.
|
Reggie |
Riordan |
Speed |
200 m/min |
100 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
800 m |
(a)
Distance that Riordan covered when he jogged 8 minutes earlier
= 8 x 100
= 800 m
Distance that Reggie covered more than Riordan per min
= 200 - 100
= 100 m
Time that Reggie needed to take to cover the additional 800 m
= 800 ÷ 100
= 8 min
(b)
Time that Riordan would had jogged when Reggie caught up with him
= 8 + 8
= 16 min
Distance that Riordan would have jogged when Reggie caught up with him
= 16 x 100
= 1600 m
Answer(s): (a) 8 min; (b) 1600 m