Tom and Fred started jogging from the same point. Fred started jogging 5 minutes earlier than Tom. Tom's jogging speed was 200 m/min and Fred'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 Tom to catch up with Fred?
- What distance would Fred have jogged when Tom caught up with him? Express your answer in meters.
|
Tom |
Fred |
Speed |
200 m/min |
150 m/min |
Start time |
|
5 min earlier |
Extra distance covered at first |
|
750 m |
(a)
Distance that Fred covered when he jogged 5 minutes earlier
= 5 x 150
= 750 m
Distance that Tom covered more than Fred per min
= 200 - 150
= 50 m
Time that Tom needed to take to cover the additional 750 m
= 750 ÷ 50
= 15 min
(b)
Time that Fred would had jogged when Tom caught up with him
= 15 + 5
= 20 min
Distance that Fred would have jogged when Tom caught up with him
= 20 x 150
= 3000 m
Answer(s): (a) 15 min; (b) 3000 m