SOLUTION: Hello guys and gals! I have a lot of trouble with word problems. Can anyone help me set up and solve this one? Thank you. During the first part of a​ trip, Adrian drove 40 m

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Question 1140052: Hello guys and gals! I have a lot of trouble with word problems. Can anyone help me set up and solve this one? Thank you.
During the first part of a​ trip, Adrian drove 40 miles at a certain speed. Adrian drives another 40 miles on the second part of the trip at a speed 5 mph faster. Driving time for the entire trip was 77 mins. Find the rate at which Adrian drove during the first part of the trip.
Answer by josgarithmetic(39615)   (Show Source): You can put this solution on YOUR website!
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Adrian drove 40 miles at a certain speed. Adrian drives another 40 miles on the second part of the trip at a speed 5 mph faster. Driving time for the entire trip was 77 mins. Find the rate at which Adrian drove during the first part of the trip.
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rate R
time T
distance D

77 minutes is same as .
                 SPEED              TIME           DISTANCE
firstpart         r                 40/r              40
secondpart       r+5                40/(r+5)          40
TOTAL                               77/60

That analysis of the problem description should help you, and you can now continue.
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