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If 6 painters can draw 9 paintings in 5 hours then find the time taken by a painter to complete 10 drawings.

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22.33 hr

44.33 hr

33.33 hr

55.33 hr

answer is C.

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Detailed Solution

If n is the number of persons, t is the time taken by a person, and w is the work, then the efficiency is given by

η = t × n w

.
Given that the efficiency of 6 painters can draw 9 paintings in 5 hours is same as the efficiency of a painter drawing 10 drawings in t hours. So,

t 1 × n 1 w 1 = t 2 × n 2 w 2 6 × 5 9 = t × 1 10 309 = t 10 30 × 10 = 9 t 300 = 9 t t = 33.33

Hence, the correct option is 3.

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