Bobby and Eric started jogging from the same point. Eric started jogging 9 minutes earlier than Bobby. Bobby's jogging speed was 500 m/min and Eric'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 Eric?
- What distance would Eric have jogged when Bobby caught up with him? Express your answer in meters.
|
Bobby |
Eric |
Speed |
500 m/min |
250 m/min |
Start time |
|
9 min earlier |
Extra distance covered at first |
|
2250 m |
(a)
Distance that Eric covered when he jogged 9 minutes earlier
= 9 x 250
= 2250 m
Distance that Bobby covered more than Eric per min
= 500 - 250
= 250 m
Time that Bobby needed to take to cover the additional 2250 m
= 2250 ÷ 250
= 9 min
(b)
Time that Eric would had jogged when Bobby caught up with him
= 9 + 9
= 18 min
Distance that Eric would have jogged when Bobby caught up with him
= 18 x 250
= 4500 m
Answer(s): (a) 9 min; (b) 4500 m