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A and B can do a piece of work in 8 days and 37 days, respectively. The number of days [Correct to one decimal place] required to complete the work if
Question

A and B can do a piece of work in 8 days and 37 days, respectively. The number of days [Correct to one decimal place] required to complete the work if both A and B work together is:

A.

7.7

B.

10.7

C.

7.1

D.

6.5

Correct option is D

Given: 

A can complete a work = 8 days

B can complete same work = 37 days 

Formula Used: 

Total work = Efficiency ×\times time

Solution: 

Total work = LCM (8, 37) = 296 

Efficiency of A = 2968=37\frac{296}{8} = 37 

Efficiency of B = 29637=8\frac{296}{37} = 8 

Combined Efficiency = 8 + 37 = 45 

Time taken by A + B:

29645=6.57 days\frac{296}{45} = 6.57 \ days ​

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