Question 1201017
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a hiking club made a trip of 380 km to a base camp in 7h. 
they traveled 4h on a paved highway and the remainder of the time on a wilderness trail. 
if the average velocity on the trail was 25km/h less than that on the highway, 
find the average velocity and distance traveled on each part of the trip.
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<pre>
r    = the average speed on the trail, in km/h.

r+25 = the average speed on the highway.


Write the total distance equation

    3*r + 4*(r+25) = 380  kilometers.


From the equation, find r

    3r + 4r + 100 = 380

       7r         = 380 - 100 = 280

        r                     = 280/7 = 40.


<U>ANSWER</U>.  40 km/h on the trail;  40+25 = 65 km/h on the highway.
</pre>

Solved.