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Aditya can do 1/6 th of a piece of work in 5 days and Bhagawan can 1/5 th of the same work in 11 days. Find the number of days taken to complete the w
Question

Aditya can do 1/6 th of a piece of work in 5 days and Bhagawan can 1/5 th of the same work in 11 days. Find the number of days taken to complete the work if both work together. (Rounded off to one decimal place)

A.

23.1

B.

19.4

C.

15.4

D.

18.9

Correct option is B

Given
Aditya does 16\frac{1}{6}​ of work in 5 days.
Bhagawan does 15\frac{1}{5}​ of work in 11 days.
Formula Used
Time taken to complete full work = Given Time ×\times ​Reciprocal of Fraction
Total time when working together =A×BA+B \frac{A \times B}{A + B}​​
Solution
Total time for Aditya to finish the full work = 5×6=30 \times 6 = 30​ days
Total time for Bhagawan to finish the full work =11×5=55 11 \times 5 = 55​ days
Time taken together = 30×5530+55\frac{30 \times 55}{30 + 55}​​
Time taken together =165085=33017 \frac{1650}{85} = \frac{330}{17}​​
Time taken together ≈ \approx ​19.4 days
Final Answer
So the correct answer is (b)

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