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Lesson: Challenging Problem Solving - 23t01

Rates: Average Rates And Combined Rates, Continued

[Page 23 of 37]

Now use the work formula to solve the following problem.

Select the correct answer and then click Continue.
Rob can paint of a room in 2 hours. If Tricia can paint of the same room in 5 hours, how many minutes will it take both of them together to paint of the room?
100
120
135
150
170

Before we can use the work formula, we must first determine how long it will take Rob alone to paint the whole room, and how long it will take Tricia alone to paint the whole room.

If Rob can paint of the room in 2 hours, then it will take him 3 times as long to complete the whole room:

If Tricia can paint of the room in 5 hours, then it will take her twice as long as long to complete the whole room:

Applying these values to the work formula, we find:

But remember—we want to know how long it will take them to paint of the room. If they can paint the whole room in hours, then it will take them as long to paint of the room:

hours, or 60 + 60 + 30 = 150 minutes

Choice (D) is correct.

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