Valen and Howard started jogging from the same point. Howard started jogging 8 minutes earlier than Valen. Valen's jogging speed was 450 m/min and Howard's jogging speed was 350 m/min. They went in the same direction and did not change their speeds throughout.
- How long did it take for Valen to catch up with Howard?
- What distance would Howard have jogged when Valen caught up with him? Express your answer in meters.
|
Valen |
Howard |
Speed |
450 m/min |
350 m/min |
Start time |
|
8 min earlier |
Extra distance covered at first |
|
2800 m |
(a)
Distance that Howard covered when he jogged 8 minutes earlier
= 8 x 350
= 2800 m
Distance that Valen covered more than Howard per min
= 450 - 350
= 100 m
Time that Valen needed to take to cover the additional 2800 m
= 2800 ÷ 100
= 28 min
(b)
Time that Howard would had jogged when Valen caught up with him
= 28 + 8
= 36 min
Distance that Howard would have jogged when Valen caught up with him
= 36 x 350
= 12600 m
Answer(s): (a) 28 min; (b) 12600 m