Problema Solution
Ariel drives 15 miles per hour faster than Sharon does. Ariel can drive 100 miles in the same amount of time it takes Sharon to drive 80 miles. Find Ariel's driving speed.
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Solution:
Let
x = Sharon's speed
y = Ariel's speed
y = x + 15
100/y = 80/x
100/(x+15) = 80/x
100x = 80(x+15)
100x = 80x + 1200
20x = 1200
x = 60mph
y = 60+15
y = 75mph