Q.A alone can complete a work in 16 days and B alone in 12 days. Starting with A, they work on alternate days. the total work will be completed in
A) 12 days
B) 13 days
C) \(13\frac{5}{7}\)days
D) \(13\frac{3}{4}\) 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 1 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: \(13\frac{3}{4}\) days
Solution:
A+B 's 2 days work =\((\frac{1}{16}+\frac{1}{12})=\frac{7}{48}\)
work done in 6 pairs of days=\((\frac{7}{48}*6)=\frac{7}{8}\)
remaining work=1-7/8=1/8
Work done by A on 13th day=1/16, remaining work=1/8-1/16 =1/16
on 14th day, its B turn. 1/12 work is done by B in 1 day.
1/16 work is done by B in 12*1/16=3/4 days
so, the total time taken=13+3/4=\(13\frac{3}{4}\)