Problema Solution
Suzie can run 2.5 miles faster than Jeff. In the time it takes Suzie to run 6 miles, Jeff runs 4 miles. Find the speed of each runner.
Answer provided by our tutors
Let
v = Jeff's speed, v>=0
v + 2.5 = Suzie's speed
d1 = 4 mi the distance Jeff runs
d2 = 6 mi the distance Suzie runs
Since speed = distance/time follows time = distance/speed. Now we can write:
d1/v = d2/(v + 2.5)
4/v = 6/(v + 2.5)
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click here to see the equation solved for v
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v = 5 mph
v + 2.5 = 5 + 2.5 = 7.5 mph
Suzie's speed is 7.5 mph.
Jeff's speed is 5 mph.