Glen and Archie started jogging from the same point. Archie started jogging 6 minutes earlier than Glen. Glen's jogging speed was 500 m/min and Archie'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 Glen to catch up with Archie?
- What distance would Archie have jogged when Glen caught up with him? Express your answer in meters.
|
Glen |
Archie |
Speed |
500 m/min |
250 m/min |
Start time |
|
6 min earlier |
Extra distance covered at first |
|
1500 m |
(a)
Distance that Archie covered when he jogged 6 minutes earlier
= 6 x 250
= 1500 m
Distance that Glen covered more than Archie per min
= 500 - 250
= 250 m
Time that Glen needed to take to cover the additional 1500 m
= 1500 ÷ 250
= 6 min
(b)
Time that Archie would had jogged when Glen caught up with him
= 6 + 6
= 12 min
Distance that Archie would have jogged when Glen caught up with him
= 12 x 250
= 3000 m
Answer(s): (a) 6 min; (b) 3000 m