Question

Joshua owns a trucking company. For every truck that goes out, Joshua must pay the driver $25 per hour of driving and also has an expense of $2 per mile driven for gas and maintenance. On one particular day, the driver drove an average of 50 miles per hour and Joshua's total expenses for the driver, gas and truck maintenance were $625. Write a system of equations that could be used to determine the number of hours the driver worked and the number of miles the truck drove. Define the variables that you use to write the system.

Answer 1

Let h= the number of hours the driver drove

Let m= the number of miles driven

25h+2m=625

m=50h

Answer 2

System of equations are 25x + 2y = 625 and y = 50x

Where x represents number of hour of driving and y represent number of mile driven for gas and maintenance.

Since, Joshua pay the driver $25 per hour of driving

So for x hours pay  $ 25x

And also has an expense of $2 per mile driven for gas and maintenance

So for y miles pay $ 2y

Thus, for the driver drove an average of 50 miles per hour

Equation is,  y = 50 x

And since, Joshua's total expenses for the driver, gas and truck maintenance were $625.

So equation is,  25x + 2y = 625

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