Minister of Power, Shri Sushilkumar Shinde and Minister of New and Renewable Ene

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Question

Minister of Power, Shri Sushilkumar Shinde and Minister of New and Renewable Energy, Dr. Farooq working together can do a piece of work in 18 days, Minister of New and Renewable Energy, Dr. Farooq and Minister of Petroleum and Natural Gas, Shri S. Jaipal Reddy in 24 days, Minister of Petroleum and Natural Gas and Minister of Power in 36 days. If all of them work together, how many days will it take?

Options:

A . 15

B . 17

C . 18

D . 16

Answer: Option D
:
D
The LCM of 18, 24 and 36 is 72. Let total work is be 72 units.
Sushilkumar Shinde and, Dr. Farooq’s 1 day work

= \frac{1}{18} \times 72 = 4 u n i t s

Dr. Farooq and S. Jaipal Reddy’s 1 day work

= \frac{1}{24} \times 72 = 3 u n i t s

S. Jaipal Reddy and Sushilkumar Shinde’s 1 day work

= \frac{1}{36} \times 72 = 2 u n i t s

Combined work of Ministers

= \frac{4 + 3 + 2}{2} = \frac{9}{2}

units
Hence, they will take

\frac{72}{9} \times 2 = 16

days;
Option (d).

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