SOLUTION: a woman travels 185 miles by car in 3 hours and 30 minutes. she drives at 50mph for part of the trip and 55mph for the remainder of the trip. How many miles does she travel at 50
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Question 499760: a woman travels 185 miles by car in 3 hours and 30 minutes. she drives at 50mph for part of the trip and 55mph for the remainder of the trip. How many miles does she travel at 50mph? I can draw a graph and estimate that she drove 1.5 hours at 50 mph leaving 2 hours to drive at 55mph which totals 185 miles traveled, but i don't know how to set up an algebraic problem to solve it. I'm helping my daughter with her algebra.
You can put this solution on YOUR website! d = rt is the basic distance equation.
d = 185
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t = 3 hr 30 min = 3.5 hr
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x = time spent driving at 50
(3.5-x) = time spent driving at 55
.
So,
50x + 55(3.5-x) = 185
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50x + 192.5 - 55x = 185
.
-5x = -7.5
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x = 1.5 hr driving at 50
.
3.5-x = 3.5 - 1.5 = 2 hr driving at 55
.
Done.
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