P, Q and R take 18, 15 and 10 days respectively to complete a job. Compare their efficiencies as a ratio.
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A.
5 : 5 : 9
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B.
5 : 5 : 6
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C.
5 : 6 : 4
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D.
5 : 6 : 10
Correct Answer:
@.
Explanation:
To find the efficiency ratio of P, Q, and R, we use the principle that efficiency is inversely proportional to the time taken to complete a task. Step 1: Identify the time taken by each person. - P = 18 days - Q = 15 days - R = 10 daysStep 2: Calculate the efficiency for each by taking the reciprocal of the time. - Efficiency of P = 1/18 - Efficiency of Q = 1/15 - Efficiency of R = 1/10Step 3: Find a common denominator to express these as a simple ratio. The Least Common Multiple (LCM) of 18, 15, and 10 is 90. - P's relative efficiency: (1/18) \* 90 = 5 - Q's relative efficiency: (1/15) \* 90 = 6 - R's relative efficiency: (1/10) \* 90 = 9The ratio of their efficiencies is 5 : 6 : 9.
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