SOLUTION: Greg drove at a constant speed in a rainstorm for 294 miles. He took a break, and the rain stopped. He then drove 156 miles at a speed that was 3 mph faster than his pervious speed
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Question 965068: Greg drove at a constant speed in a rainstorm for 294 miles. He took a break, and the rain stopped. He then drove 156 miles at a speed that was 3 mph faster than his pervious speed. If he drove for 9 hours, find the cars speed for each part of the trip. Found 2 solutions by josmiceli, MathTherapy:Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = time in hours for 1st trip = time in hours for 2nd trip
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Multiply both sides by
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Use quadratic formula:
First find
Find
Then find
You can put this solution on YOUR website! Greg drove at a constant speed in a rainstorm for 294 miles. He took a break, and the rain stopped. He then drove 156 miles at a speed that was 3 mph faster than his pervious speed. If he drove for 9 hours, find the cars speed for each part of the trip.
Let speed during 1st leg of trip, be S
Then speed during 2nd leg = S + 3
Time taken to complete 1st leg:
Time taken to complete 2nd leg:
We then get:
294(S + 3) + 156S = 9(S)(S + 3) ------- Multiplying by LCD, S(S + 3)
(S - 49)(S + 2) = 0
S, or speed on 1st leg = mph OR S = - 2 (ignore)
Speed on 2nd leg: 49 + 3, or mph
