Bobby and Caden started jogging from the same point. Caden started jogging 8 minutes earlier than Bobby. Bobby's jogging speed was 450 m/min and Caden'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 Bobby to catch up with Caden?
- What distance would Caden have jogged when Bobby caught up with him? Express your answer in meters.
|
Bobby |
Caden |
Speed |
450 m/min |
250 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
2000 m |
(a)
Distance that Caden covered when he jogged 8 minutes earlier
= 8 x 250
= 2000 m
Distance that Bobby covered more than Caden per min
= 450 - 250
= 200 m
Time that Bobby needed to take to cover the additional 2000 m
= 2000 ÷ 200
= 10 min
(b)
Time that Caden would had jogged when Bobby caught up with him
= 10 + 8
= 18 min
Distance that Caden would have jogged when Bobby caught up with him
= 18 x 250
= 4500 m
Answer(s): (a) 10 min; (b) 4500 m