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primary 6 | Maths
| Speed
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Please help me with this question on speed .Thanks
Aaron took 3 hours to travel that distance.
Since Bill started 1 hour later,
Bill took 2 hours only.
Every hour, Bill travels 18km more than Aaron since he's 18km/h faster.
In that 2 hours, 18km x 2 = 36km
He would have travelled 36km more than Aaron in that 2 hours.
Since he overtook Aaron at that point, this tells you that:
When Bill started, Bill was 36km behind Aaron. But he caught up with him by travelling 36km more in the same 2 hours.
And this also tells us that Aaron had already travelled 36km during the first hour.
So Aaron's speed is 36km ÷ 1h = 36km/h
b)
Bill's speed = 36km/h + 18km/h
= 54km/h
Bill reached town Q ½ hour later.
So his total time taken
= 2 h + ½h = 2½h
Distance between P and Q
= 2½h x 54km/h
= 135km
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