Flynn and Daniel started jogging from the same point. Daniel started jogging 4 minutes earlier than Flynn. Flynn's jogging speed was 450 m/min and Daniel's jogging speed was 350 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Flynn to catch up with Daniel?
- What distance would Daniel have jogged when Flynn caught up with him? Express your answer in meters.
|
Flynn |
Daniel |
Speed |
450 m/min |
350 m/min |
Start time |
|
4 min earlier |
Extra distance covered at first |
|
1400 m |
(a)
Distance that Daniel covered when he jogged 4 minutes earlier
= 4 x 350
= 1400 m
Distance that Flynn covered more than Daniel per min
= 450 - 350
= 100 m
Time that Flynn needed to take to cover the additional 1400 m
= 1400 ÷ 100
= 14 min
(b)
Time that Daniel would had jogged when Flynn caught up with him
= 14 + 4
= 18 min
Distance that Daniel would have jogged when Flynn caught up with him
= 18 x 350
= 6300 m
Answer(s): (a) 14 min; (b) 6300 m