jcable9180
Jan 28, 2011, 10:32 AM
During the first part of a trip a canoeist travels 48 miles at a certain speed. The canoeist travels 19 miles on the second part of the trip at a speed of 5mph slower. The total time for the trip was 3 hours. What was the time for each part of the trip?
galactus
Jan 28, 2011, 11:23 AM
We know that d=rt.
Therefore, t=d/r
The first part of the trip, the canoeist traveled for
\frac{48}{r} hours... [1]
The second part, they traveled for:
\frac{19}{r-5} hours... [2]
Altogether, it took 3 hours.
\frac{48}{r}+\frac{19}{r-5}=3
Solve for r.
You will get two values. Only one will make sense.
Sub that value into [1] and [2], respectively, to find the time for each trip.