Fred and Riordan started jogging from the same point. Riordan started jogging 7 minutes earlier than Fred. Fred'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 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 |
200 m/min |
100 m/min |
Start time |
|
7 min earlier |
Extra distance covered at first |
|
700 m |
(a)
Distance that Riordan covered when he jogged 7 minutes earlier
= 7 x 100
= 700 m
Distance that Fred covered more than Riordan per min
= 200 - 100
= 100 m
Time that Fred needed to take to cover the additional 700 m
= 700 ÷ 100
= 7 min
(b)
Time that Riordan would had jogged when Fred caught up with him
= 7 + 7
= 14 min
Distance that Riordan would have jogged when Fred caught up with him
= 14 x 100
= 1400 m
Answer(s): (a) 7 min; (b) 1400 m