An emergency plumber charges $65 per visit plus an additional $75 per hour. He arrives at Xavien’s house at 9:30 p.m. and works to repair a water leak. The total repair bill Xavien pays is $196.25.(1 point)

Question

Write an equation which can be used to determine the total hours, h, the plumber took to repair the leak.

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What time did the plumber repair the leak?

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Remaining Attempts : 3

Answer 1

To determine the total hours \( h \) the plumber took to repair the leak, we can start by formulating the equation based on the charges.

The total bill consists of two parts:

1. A fixed charge for the visit: $65
2. An hourly charge: $75 per hour for \( h \) hours.

The total bill can be represented by the equation:

\[ 65 + 75h = 196.25 \]

Now, we can solve for \( h \):

1. Subtract 65 from both sides: \[ 75h = 196.25 - 65 \] \[ 75h = 131.25 \]

2. Divide both sides by 75: \[ h = \frac{131.25}{75} \] \[ h = 1.75 \]

So, the plumber took \( 1.75 \) hours to repair the leak.

To find the time he finished the repair:

• He arrived at 9:30 p.m.
• \( 1.75 \) hours is equivalent to 1 hour and 45 minutes.
• Adding this to 9:30 p.m.:

Starting with 9:30 p.m.: 1 hour later: 10:30 p.m. 45 minutes later: 11:15 p.m.

Thus, the plumber finished the repair at 11:15 p.m.