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P, Q, and R take 18,15 and 10 days respectively to complete a job. Compare their efficiencies as a ratio.
Question

P, Q, and R take 18,15 and 10 days respectively to complete a job. Compare their efficiencies as a ratio.

A.

5 : 5 : 9

B.

5 : 5 : 6

C.

5 : 6 : 9

D.

5 : 6 : 10

Correct option is C


𝐺𝑖𝑣𝑒𝑛:
𝑃, 𝑄 π‘Žπ‘›π‘‘ 𝑅 π‘‘π‘Žπ‘˜π‘’ 18, 15 π‘Žπ‘›π‘‘ 10 π‘‘π‘Žπ‘¦π‘  π‘Ÿπ‘’π‘ π‘π‘’π‘π‘‘π‘–π‘£π‘’π‘™π‘¦
Solution:
As we know the efficiency is the inversely proportional to the time.
Thus, the efficiencies of P, Q and R = 1/18 : 1/15 : 1/10
LCM of 18, 15 and 10 = 90
= 90/18 : 90/15 : 90/10
= 5 : 6 : 9
Therefore, the correct answer is (c).

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