Fabian and Albert started jogging from the same point. Albert started jogging 5 minutes earlier than Fabian. Fabian's jogging speed was 400 m/min and Albert'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 Fabian to catch up with Albert?
- What distance would Albert have jogged when Fabian caught up with him? Express your answer in meters.
|
Fabian |
Albert |
Speed |
400 m/min |
300 m/min |
Start time |
|
5 min earlier |
Extra distance covered at first |
|
1500 m |
(a)
Distance that Albert covered when he jogged 5 minutes earlier
= 5 x 300
= 1500 m
Distance that Fabian covered more than Albert per min
= 400 - 300
= 100 m
Time that Fabian needed to take to cover the additional 1500 m
= 1500 ÷ 100
= 15 min
(b)
Time that Albert would had jogged when Fabian caught up with him
= 15 + 5
= 20 min
Distance that Albert would have jogged when Fabian caught up with him
= 20 x 300
= 6000 m
Answer(s): (a) 15 min; (b) 6000 m