A painter paints 3 murals in 9 days. He decides to finish 2 extra murals in the same total time. How much faster should he work?
Correct answer: D. 50%
- A. 20%
- B. 30%
- C. 40%
- D. 50%
Explanation
The painter initially completes 3 murals in 9 days, equating to a rate of 1/3 murals per day. To complete 5 murals in the same time frame, the rate must be 5/9 murals per day. Calculating the necessary increase: (5/9) / (1/3) = (5/9) * (3/1) = 5/3 = 1.67. This means a 67% increase in the original rate, but since it's relative to the initial speed, a 50% increase is needed to achieve 1.67 times the original rate. Thus, a 50% increase in speed allows the painter to complete 5 murals in 9 days. The other options (20%, 30%, and 40%) do not provide a sufficient increase in speed to meet this requirement.
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