SOLUTION: How do I solve this? "Philip drove 12 miles in town in the same time he drove 19 miles on the highway. His highway speed was 21 miles per hour faster than his speed in town. Wh

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Question 958678: How do I solve this?
"Philip drove 12 miles in town in the same time he drove 19 miles on the highway. His highway speed was 21 miles per hour faster than his speed in town. What was his average speed on the highway?"

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39799) About Me  (Show Source):
You can put this solution on YOUR website!
RT=D uniform rates rule for travel.

___________________speed___________time__________distance
IN TOWN_____________r________________t____________12
HIGHWAY_____________r+21_____________t____________19



Variable assignments implied in the table.
system%28rt=12%2C%28r%2B21%29t=19%29

You want to solve for r and evaluate r+21.

Answer by MathTherapy(10810) About Me  (Show Source):
You can put this solution on YOUR website!

How do I solve this?
"Philip drove 12 miles in town in the same time he drove 19 miles on the highway. His highway speed was 21 miles per hour faster than his speed in town. What was his average speed on the highway?"
Let speed on highway, be S
Then speed in town = S - 21
We then get: 12%2F%28S+-+21%29+=+19%2FS
19(S - 21) = 12S -------- Cross-multiplying
19S - 399 = 12S
19S - 12S = 399
7S = 399
S, or speed on highway = 399%2F7, or highlight_green%2857%29 mph