SOLUTION: A cyclist cycles for x hours at 12km per hour and y hours at 18km per hour, Altogether he cycles 78km in 5 hours. Find x and y

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Question 680300: A cyclist cycles for x hours at 12km per hour and y hours at 18km per hour, Altogether he cycles 78km in 5 hours. Find x and y
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A cyclist cycles for x hours at 12km per hour and y hours at 18km per hour, Altogether he cycles 78km in 5 hours. Find x and y
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Distance Equation: 12x + 18y = 78 km
Time Equation:::: x + y = 5 hours
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Multiply thru the Time Equation by 12:
12x + 18y = 78
12x + 12y = 60
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Subtract and solve for "y":
6y = 18
y = 3
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Solve for "x" using x + y = 5
x + 3 = 5
x = 2
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Cheers,
Stan H.
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