Rael and Gabriel started jogging from the same point. Gabriel started jogging 8 minutes earlier than Rael. Rael's jogging speed was 450 m/min and Gabriel'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 Rael to catch up with Gabriel?
- What distance would Gabriel have jogged when Rael caught up with him? Express your answer in meters.
|
Rael |
Gabriel |
Speed |
450 m/min |
350 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
2800 m |
(a)
Distance that Gabriel covered when he jogged 8 minutes earlier
= 8 x 350
= 2800 m
Distance that Rael covered more than Gabriel per min
= 450 - 350
= 100 m
Time that Rael needed to take to cover the additional 2800 m
= 2800 ÷ 100
= 28 min
(b)
Time that Gabriel would had jogged when Rael caught up with him
= 28 + 8
= 36 min
Distance that Gabriel would have jogged when Rael caught up with him
= 36 x 350
= 12600 m
Answer(s): (a) 28 min; (b) 12600 m