Ethan and Jenson started jogging from the same point. Jenson started jogging 7 minutes earlier than Ethan. Ethan's jogging speed was 500 m/min and Jenson'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 Ethan to catch up with Jenson?
- What distance would Jenson have jogged when Ethan caught up with him? Express your answer in meters.
|
Ethan |
Jenson |
Speed |
500 m/min |
150 m/min |
Start time |
|
7 min earlier |
Extra distance covered at first |
|
1050 m |
(a)
Distance that Jenson covered when he jogged 7 minutes earlier
= 7 x 150
= 1050 m
Distance that Ethan covered more than Jenson per min
= 500 - 150
= 350 m
Time that Ethan needed to take to cover the additional 1050 m
= 1050 ÷ 350
= 3 min
(b)
Time that Jenson would had jogged when Ethan caught up with him
= 3 + 7
= 10 min
Distance that Jenson would have jogged when Ethan caught up with him
= 10 x 150
= 1500 m
Answer(s): (a) 3 min; (b) 1500 m