Julian rides his bike uphill for 45 minutes, then turns around and rides back downhill. It takes him 15 minutes to get back to w
here he started. His uphill speed is 3 miles per hour slower than his downhill speed. Find Julian’s uphill and downhill speed.
1 answer:
Answer:
1.5mi/hr, 4.5mi/hr
Explanation:
Given:
45 min = 0.75h, 15 min = 0.25h
(1) 0.75v₁ = 0.25v₂
(2) v₁ = v₂ - 3
Solve for v₁ and v₂:
0.75(v₂ - 3) = 0.25v₂ = 0.75v₂ - 2.25 = 0.25v₂
0.5v₂ = 2.25
v₂ = 4.5
v₁ = 1.5
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