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Ronald can wash and wax one car in 3 hours. Marco can do the same job in 4 hours. If they worked together, how long will it take them to wash and wax the car? Make sure to show your process.

User Tjac
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1 Answer

1 vote

Answer:

Let's first find out how much work Ronald and Marco can do in one hour.

Ronald's rate = 1 car / 3 hours = 1/3 car per hour

Marco's rate = 1 car / 4 hours = 1/4 car per hour

Their combined rate would be the sum of their individual rates:

Combined rate = Ronald's rate + Marco's rate

= 1/3 car per hour + 1/4 car per hour

= 7/12 car per hour

This means that together, Ronald and Marco can wash and wax 7/12 of a car in one hour.

Now, let's use this combined rate to determine how long it would take them to wash and wax one car.

The formula for work is:

Work = Rate x Time

Since they want to wash and wax one car, we can plug in the values we found above and solve for time:

1 car = (7/12 car per hour) x Time

Time = 1 car / (7/12 car per hour)

Time = 12/7 hours

Therefore, it would take Ronald and Marco approximately 1 hour and 43 minutes (12/7 hours) to wash and wax one car if they worked together.

User Jessica Knight
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