A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

12 days
15 days
16 days
18 days

Correct Answer: 15 days

Explanation:

A's 2 day's work =	❨	1	x 2	❩	=	1	.
		20				10

(A + B + C)'s 1 day's work =	❨	1	+	1	+	1	❩	=	6	=	1	.
		20		30		60			60		10

Work done in 3 days =	❨	1	+	1	❩	=	1	.
		10		10			5

Now,	1	work is done in 3 days.
	5

∴ Whole work will be done in (3 x 5) = 15 days.

More Questions from Time and Work

A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?
4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?
Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?
A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:
Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?
X and Y can do a piece of work in 20 days and 12 days respectively. X started the work alone and then after 4 days Y joined him till the completion of the work. How long did the work last?
A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :
A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?
A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:

Discussion & Comments

No comments yet. Be the first to comment!