Fabian and Ian started jogging from the same point. Ian started jogging 3 minutes earlier than Fabian. Fabian's jogging speed was 300 m/min and Ian's jogging speed was 150 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 Ian?
- What distance would Ian have jogged when Fabian caught up with him? Express your answer in meters.
|
Fabian |
Ian |
Speed |
300 m/min |
150 m/min |
Start time |
|
3 min earlier |
Extra distance covered at first |
|
450 m |
(a)
Distance that Ian covered when he jogged 3 minutes earlier
= 3 x 150
= 450 m
Distance that Fabian covered more than Ian per min
= 300 - 150
= 150 m
Time that Fabian needed to take to cover the additional 450 m
= 450 ÷ 150
= 3 min
(b)
Time that Ian would had jogged when Fabian caught up with him
= 3 + 3
= 6 min
Distance that Ian would have jogged when Fabian caught up with him
= 6 x 150
= 900 m
Answer(s): (a) 3 min; (b) 900 m