18
QuizMultiple Choice

Cramer's Rule — Unit test

Question 18 • Precalculus

If Tom, George and Mario work together, they can paint a 600 ft2 room in 4 hours. When only George and Mario work together, it takes 8 hours to paint the room. Tom and George, working together, take 6 hours to paint the room. How long would it take Tom to paint the room alone? Hint: Write the system of equations shown below in augmented form, then solve the system for T (Tom's painting rate). Next, use the equation Painted Area = Painting Rate× Time and solve for Time to determine how long it would take Tom to paint the room alone.

Question illustration
Answer
A
8 hours
B
23 hours
C
3 hours
D
4 hours
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