Sam and Ryan started jogging from the same point. Ryan started jogging 5 minutes earlier than Sam. Sam's jogging speed was 200 m/min and Ryan'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 Sam to catch up with Ryan?
- What distance would Ryan have jogged when Sam caught up with him? Express your answer in meters.
|
Sam |
Ryan |
Speed |
200 m/min |
100 m/min |
Start time |
|
5 min earlier |
Extra distance covered at first |
|
500 m |
(a)
Distance that Ryan covered when he jogged 5 minutes earlier
= 5 x 100
= 500 m
Distance that Sam covered more than Ryan per min
= 200 - 100
= 100 m
Time that Sam needed to take to cover the additional 500 m
= 500 ÷ 100
= 5 min
(b)
Time that Ryan would had jogged when Sam caught up with him
= 5 + 5
= 10 min
Distance that Ryan would have jogged when Sam caught up with him
= 10 x 100
= 1000 m
Answer(s): (a) 5 min; (b) 1000 m