Q. |
Suraj and Santosh can complete a job in 8 days, Santosh and Saurav in 14 2/5 days and Suraj and Saurav in 9 days. In how many days can Suraj, Santosh and Saurav working individually complete the entire work respectively. |
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A. 12, 24, 40 |
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B. 12, 24, 32 |
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C. 12, 18, 15 |
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D. 12, 24, 36 |
Let the total units to be completed is 72. (LCM of 8, 72/5 and 9)
In 1 day Suraj and Santosh do = 9 units
In 1 day Santosh and Saurav do = 5 units
In 1 day Suraj and Saurav do = 8 units
2 (Suraj+Santosh+Saurav) - 22 units per day
(Suraj+Santosh+Saurav) - 22/2 = 11 units per day
Suraj alone does = 11 - 5 = 6 units per day
Santosh alone does = 11 - 8 = 3 units per day
Saurav alone does = 11 - 9 = 2 units per day
To complete 72 units, they will take 72/6, 72/3, 72/2
= 12 days, 24 days and 36 days (Option-D)