David and Julian started jogging from the same point. Julian started jogging 9 minutes earlier than David. David's jogging speed was 200 m/min and Julian'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 David to catch up with Julian?
- What distance would Julian have jogged when David caught up with him? Express your answer in meters.
|
David |
Julian |
Speed |
200 m/min |
100 m/min |
Start time |
|
9 min earlier |
Extra distance covered at first |
|
900 m |
(a)
Distance that Julian covered when he jogged 9 minutes earlier
= 9 x 100
= 900 m
Distance that David covered more than Julian per min
= 200 - 100
= 100 m
Time that David needed to take to cover the additional 900 m
= 900 ÷ 100
= 9 min
(b)
Time that Julian would had jogged when David caught up with him
= 9 + 9
= 18 min
Distance that Julian would have jogged when David caught up with him
= 18 x 100
= 1800 m
Answer(s): (a) 9 min; (b) 1800 m