Problema Solution
dave can hike on level ground 3 miles an hour faster than he can on uphill terrain.yesterday, he hiked 36 miles, spending 2 hours on level ground and 5 hours on uphill terrain. find his average speed on level ground.
Answer provided by our tutors
Let's call the speed of dave on level ground "X", and his speed on uphill terrain "X-3"
Distance = speed x time, so yesterday dave walked 36 miles = X*(time on level ground)+(X-3)*(time on uphill terrain) = 2X+5(X-3) = 7X - 15.
We have an equation:
36 = 7X -15
therefore
7X = 21
therefore
X = 3 miles per hour.