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Question

Difficulty: EasyDirect Proportions

A maintenance crew can paint 120120 square feet of a ship's hull in 22 hours. Working at this same constant rate, how many square feet can the crew paint in 55 hours?

Answer: 300 square feet

Answer

300
Because the work happens at a constant rate, the area painted is directly proportional to the time spent working. Finding the unit rate (6060 square feet per hour) and multiplying it by the target time (55 hours) yields the correct total of 300300 square feet.

Step-by-Step Solution

1
Calculate the unit rate of painting.
6060 square feet per hour
To find how much is painted in a different amount of time, we first need to know how much is painted in one hour. We do this by dividing the total area (120120) by the total time (22).
2
Calculate the total area painted in the new timeframe.
300300 square feet
Multiply the unit rate (6060 square feet per hour) by the new target time (55 hours) to find the final proportional amount.

Key Concept

Direct Proportions
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Topics

Direct Proportions

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