Fred and Riordan started jogging from the same point. Riordan started jogging 3 minutes earlier than Fred. Fred's jogging speed was 400 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 Fred to catch up with Riordan?
- What distance would Riordan have jogged when Fred caught up with him? Express your answer in meters.
|
Fred |
Riordan |
Speed |
400 m/min |
100 m/min |
Start time |
|
3 min earlier |
Extra distance covered at first |
|
300 m |
(a)
Distance that Riordan covered when he jogged 3 minutes earlier
= 3 x 100
= 300 m
Distance that Fred covered more than Riordan per min
= 400 - 100
= 300 m
Time that Fred needed to take to cover the additional 300 m
= 300 ÷ 300
= 1 min
(b)
Time that Riordan would had jogged when Fred caught up with him
= 1 + 3
= 4 min
Distance that Riordan would have jogged when Fred caught up with him
= 4 x 100
= 400 m
Answer(s): (a) 1 min; (b) 400 m