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A, B and C can complete a piece of work in 3, 4 and 6 days, respectively. How long (in days) will they take to complete thrice the same work, working
Question

A, B and C can complete a piece of work in 3, 4 and 6 days, respectively. How long (in days) will they take to complete thrice the same work, working together?

A.

5

B.

12

C.

4

D.

8

Correct option is C

Given:
A can complete the work in 3 days.
B can complete the work in 4 days.
C can complete the work in 6 days.
Formula Used:
Total Work = Efficiency × Time
Solution:
Total work = LCM(3, 4, 6) = 12
Efficiency of A = 123 \frac{12}{3}​ = 4

Efficiency of B = 124\frac{12}{4}​ = 3

Efficiency of C =126 \frac{12}{6}​ = 2
Total efficiency = 4 + 3 + 2 = 9
Work to be completed = 3 × 12 = 36
Time taken = 369\frac{36}{9}​ = 4
Final Answer
So the correct answer is (c)

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