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jcable9180 · Jan 28, 2011, 10:30 AM

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.