Daniel and Bryan started jogging from the same point. Bryan started jogging 6 minutes earlier than Daniel. Daniel's jogging speed was 500 m/min and Bryan's jogging speed was 300 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Daniel to catch up with Bryan?
- What distance would Bryan have jogged when Daniel caught up with him? Express your answer in meters.
|
Daniel |
Bryan |
Speed |
500 m/min |
300 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
1800 m |
(a)
Distance that Bryan covered when he jogged 6 minutes earlier
= 6 x 300
= 1800 m
Distance that Daniel covered more than Bryan per min
= 500 - 300
= 200 m
Time that Daniel needed to take to cover the additional 1800 m
= 1800 ÷ 200
= 9 min
(b)
Time that Bryan would had jogged when Daniel caught up with him
= 9 + 6
= 15 min
Distance that Bryan would have jogged when Daniel caught up with him
= 15 x 300
= 4500 m
Answer(s): (a) 9 min; (b) 4500 m