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arosh7765
07.07.2019 •
Mathematics
To travel 100 miles, it takes sue, riding a moped, 3 hours less time than it takes doreen to travel 42 miles riding a bicycle. sue travels 19 miles per hour faster than doreen. find the times and rates of both girls.
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Ответ:
Let us assume Doreen rate = x miles per hour.
Sue travels 19 miles per hour faster than Doreen.
Therefore,
Rate of Sue = (x+19) miles per hour.
We know time, rate and distance relation as
Time = Distance / rate.
Therefore, time taken by Doreen to travel 42 miles at the rate x miles per hour =
And time taken by Sue to travel 100 miles at the rate (x+19) miles per hour =
Sue takes 3 hours less time than it takes Doreen.
Therefore,
We need to solve the equatuion for x now.
We can't take rates as negative numbers.
So, the rate of Doreen (x) = 6 miles per hour.
Rate of Sue = x+19 = 6+19 = 25 miles per hour.
Time taken by Doreen @ 6 miles per hour to cover 42 miles = 42/6 = 7 hours.
Time taken by Sue @ the rate 25 miles per hour to cover 100 miles = 100/25 = 4 hours.
Ответ:
to be honest I don't know what ot is