Rael and Mark started jogging from the same point. Mark started jogging 4 minutes earlier than Rael. Rael's jogging speed was 500 m/min and Mark's jogging speed was 250 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 Mark?
- What distance would Mark have jogged when Rael caught up with him? Express your answer in meters.
|
Rael |
Mark |
Speed |
500 m/min |
250 m/min |
Start time |
|
4 min earlier |
Extra distance covered at first |
|
1000 m |
(a)
Distance that Mark covered when he jogged 4 minutes earlier
= 4 x 250
= 1000 m
Distance that Rael covered more than Mark per min
= 500 - 250
= 250 m
Time that Rael needed to take to cover the additional 1000 m
= 1000 ÷ 250
= 4 min
(b)
Time that Mark would had jogged when Rael caught up with him
= 4 + 4
= 8 min
Distance that Mark would have jogged when Rael caught up with him
= 8 x 250
= 2000 m
Answer(s): (a) 4 min; (b) 2000 m