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23 May, 08:55

Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 5 hours. Together they charged a total of 2900. What was the rate charged per hour by each mechanic if the sum of the two rates was 235 per hour?

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  1. 23 May, 09:53
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    The rate per hour of the 1st mechanic is US$ 115, and the rate of the 2nd mechanic is US$ 120.

    Step-by-step explanation:

    1. Let's review all the information given to answer the question correctly.

    Time of the 1st mechanic working on the car = 20 hours

    Time of the 2nd mechanic working on the car = 5 hours

    Total rate of the work done by the two mechanics = US$ 2,900

    2. What was the rate charged per hour by each mechanic if the sum of the two rates was 235 per hour?

    Rate per hour of the 1st mechanic = x

    Rate per hour of the 1st mechanic = 235 - x

    For solving the value of x, we will use the following equation:

    x * 20 + 5 * (235 - x) = 2,900

    20x + 1,175 - 5x = 2,900

    15x = 2,900 - 1,175 (Like terms)

    15x = 1,725

    x = 115 (Dividing by 15 at both sides)

    The rate per hour of the 1st mechanic is US$ 115, therefore the rate of the 2nd mechanic is US$ 120 (235 - 115).

    Total charged by the 2 mechanics = 115 * 20 + 120 * 5

    Total charged by the 2 mechanics = 2,300 + 600

    Total charged by the 2 mechanics = 2,900
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