Problema Solution
Jared is training for a cross country cycling race. He ride 62 miles in 2 hours. After the first 50 miles through the foothills, he increases his speed by 6 miles per hour as he rode on flat roads for the last 12 miles...find Jared's cycling speed through the foothills.
Answer provided by our tutors
Let
v = Jared's initial speed though the foothills
v + 6 = Jared's speed on the flat road
d1 = 50 mi
d2 = 12 mi
t = 2 hr
Since speed = distance/time follows time = distance/speed:
d1/v + d2/(v + 6) = t
50/v + 12/(v + 6) = 2
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click here to see the equation solved for v
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v = 30 mph
We need to ignore the negative solution -5 since the speed can only be positive.
Jared's cycling speed through the foothills was 30 mph.