Q.A is 50% as efficient as B. C does half of the work done by A and B together.If C alone does the work in 20 days, then A,B and C together can do the work in
A) 17/3 days
B) 20/3 days
C) 6 days
D) 7 days
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: 20/3 days
Solution:
If B alone completes the work in x days, A will do the same in 2x days.
A+B 's 1 day work=\(\frac{1}{x}+\frac{1}{2x}=\frac{3}{2x}\)
C's 1 day work=3/4x=1/20
from the above we get x=15
\(\therefore \)(A+B+C)'s 1 day work=\(\frac{1}{2x}+\frac{1}{x}+\frac{3}{4x} =\frac{1}{30}+\frac{1}{15}+\frac{1}{20} =\frac{3}{20}\)
Hence all three together will complete the work in 20/3 days..