Q.A company contracts to paint 3 houses. Mr.Brown can paint a house in 6 days while Mr.Black would take 8 days and Mr.Blue 12 days. After 8 days Mr.Brown goes on vacation and Mr. Black begins to work for a period of 6 days. How many days will it take Mr.Blue to complete the contract?
A) 7
B) 8
C) 11
D) 12
Related Questions
Q.
A and B undertook to do a piece of work for Rs. 4500. A alone could do it in 8 days and B alone in 12 days. With the assistance of C, they finished the work in 4 days. C’s share of money is:
A) Rs. 375
B) Rs. 750
C) Rs. 1500
D) Rs. 2250
Q.
A and B can complete a piece of work in 12 days and 18 days respectively. A being to do the work and they work alternately one at a time for one day each. The whole work will be completed in
A) 43/3 days
B) 47/3 days
C) 49/3 days
D) 56/3 days
Q.
A man, a woman and a boy together complete a place of work in 3 days. If a man alone can do it in 6 days and a boy alone in 18 days, how long will a woman take to complete the work?
A) 9 days
B) 21 days
C) 24 days
D) 27 days
Today's Challenging Question
Q.
Ajay & Bimal can do a price of work in 10 days, Bimal & Chetan can do in 15 days and Chetan and Ajay in 20 days. They work together for 6 days and then Ajay leaves and now Bimal & Chetan work together for 4 more days. If Bimal leaves, how long will Chetan take to finish the work?
A) 12 days
B) 10 days
C) 16 days
D) none 3 members solved
Solve Challenging question
Q.
Ajay & Bimal can do a price of work in 10 days, Bimal & Chetan can do in 15 days and Chetan and Ajay in 20 days. They work together for 6 days and then Ajay leaves and now Bimal & Chetan work together for 4 more days. If Bimal leaves, how long will Chetan take to finish the work?
A) 12 days
B) 10 days
C) 16 days
D) none
Correct Answer: 11
Solution:
In 1 day’s Mr. Brown can paint = 1/6 house
In 1 day’s Mr. Black can paint = 1/8 house
In 1 day’s Mr. Blue can paint = 1/12 house
Total work or houses = 3
Work done by Mr. Brown in 8 days = 8 × (1/6) days
Work done by Mr. Black in 6 days = 6 × (1/8) days
Let x days taken to complete remaining work by Mr. Blue.
Work done by Mr. Blue in x days = x × (1/12) days
\(\begin{array}{l} \therefore \frac{8}{6} + \frac{6}{8} + \frac{x}{{12}} = 3\\ \Rightarrow \frac{{32 + 18 + 2x}}{{24}} = 3 \end{array}\)
⇒ 32 + 18 + 2x = 72
⇒ 2x = 22
⇒ x = 11 days
So the correct answer is 11 days