SOLUTION: On a 570 mile trip Andy averaged 5 miles per hour faster for the last 240 miles than he did for the first 330 miles. The entire trip took 10 hours. How fast did he travel for the
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Question 188492This question is from textbook
: On a 570 mile trip Andy averaged 5 miles per hour faster for the last 240 miles than he did for the first 330 miles. The entire trip took 10 hours. How fast did he travel for the first 350 miles?
thanks,
these word problems are giving me a real headache and I really appreciate the help This question is from textbook
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let x is Andy speed for the first 330 miles,
we can establish the equation as follows:
[330/x] + [240/(x+5)] = 10
(330x +1650 +240x)/x(x+5) = 10
330x +1650 +240x =10x^2 + 50x
(x^2) - 52x - 165 = 0
x=[52+ sqrt(52^2 - 660)]/2 = [52 + sqrt(3364)]/2= [52 + 58]/2
x1= 55 x2=[ 52-58]/2 = -3 negative ( not accepted)
so the solution is x=55 mile/hour in the first 330 miles
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