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5 September, 08:20

two mechanics worked on a car. The first mechanic worked for 10 hrs, and the second mechanic worked for 5 hours. Together they charged a total of $1475. What was the rate charged per hour by mechanic if the sum of the two rates was $190 per hour? What is the first mechanic make per hour? And what did the second mechanic make per hour?

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  1. 5 September, 08:31
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    The first mechanic $90/hour and the second charged $70/hour

    Step-by-step explanation:

    Lets start off by letting x be the first mechanics rate and y being the second mechanics rate. We know that the first mechanic worked 5 hours and that the second mechanic worked 10 hours and together they charged 1150. An equation to express this would be:

    5x+10y = 1150

    We also know that together they charged 160/per hour. An equation to express this would be:

    x+y = 160

    Now we can solve the second equation for x or the first mechanics rate.

    x+y = 160

    x = 160 - y

    Now that we have an expression for x we can plug that back into the first equation and solve for y or how much the second mechanic charged.

    5x+10y=1150 plug in x = 160-y

    5 (160-y) + 10y=1150 Distribute

    800 - 5y+10y = 1150 Combine like terms

    800 + 5y = 1150 Subtract 800 from both sides

    5y = 350 divide by 5

    y = 70

    So we know that the second mechanic charged $70/hour. We also know that (from our work before) that the first mechanic charges $160 - the rate the second mechanic charged. We know that's $70/hour so we can plug in and solve for the first rate.

    x = 160-y

    x = 160-70

    x = 90

    So we know that the first mechanic charged $90/hour and the second mechanic charged $70/hour.
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