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(39613) About Me  (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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RT=D
rate R
time T
distance D

77 minutes is same as 77%2F60hours.
                 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.