SOLUTION: Greg drove at a constant speed in a rainstorm for 252 miles. He took a​ break, and the rain stopped He then drove 240 miles at a speed that was 4 miles per hour faster than

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Question 1089300: Greg drove at a constant speed in a rainstorm for 252 miles. He took a​ break, and the rain stopped He then drove 240 miles at a speed that was 4 miles per hour faster than his previous speed. If he drove for 13 ​hours, find the​ car's speed for each part of the trip.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
               SPEED        TIME         DISTANCE
RAIN            r           252/r         252
NO RAIN         r+4         240/(r+4)     240
Total                        13

252%2Fr%2B240%2F%28r%2B4%29=13
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252%28r%2B4%29%2B240r=13%2Ar%28r%2B4%29
.
.
13r%5E2-440r-1008=0

discriminant, 440%5E2%2B4%2A13%2A1008=246016=496%5E2

highlight_green%28r=%28440%2B496%29%2F%282%2A13%29=highlight%2836%29%29

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
252%2Fx+%2B+240%2F%28x%2B4%29 = 13.

Solve for x, which is the lowest speed, in miles per hour.


Answer.  x = 36 mph.