Question

A cyclist cycles for x hours at 12km/h and y hours at 18km/h although she cycles 78km/h in 5 hours. Find x and y

Answer 1

Answer:

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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