Question 1201017
<br>
Technically, note that you are talking about speeds, not velocities -- unless both the highway and the wilderness trail are straight lines....<br>
Let x be the average speed in mph on the trail; then the speed on the highway was x+25.<br>
4 hours at speed (x+25) plus 3 hours at speed x makes a total distance of 380 km:<br>
{{{4(x+25)+3(x)=380}}}
{{{4x+100+3x=380}}}
{{{7x=280}}}
{{{x=40}}}<br>
ANSWERS:
highway speed: x+25 = 65 mph
hiking speed: x = 40 mph (impossible...!)<br>
Oh, well.  It's just a math problem, so the answers don't need to make sense in the real world....<br>