Arun can do a piece of work in 10 days, while Varun can do the same work in 15 days.
How long will they take to do the same work, when working together?
Answers
Arun does the work in 1 day=1/30th part
Varun …………do……….1 day=1/36 th part
Together they …..do….1 day= 1/30+1/36=11/180 part.
Let us say Varun does the work in x days before joining of Arun to complete the work together in 24 days. So in x days Varun does=x/36 part. The remaining part of work remains= 1-x/36=(36-x)/36 part which will be done in 24-x days by both of them. In ( 24-x) days together do 11(24-x)/180 part of work . So, (36-x)/36=11(24-x)/180 Or,36-x=11×36(24-x)/180 Or, 36-x=11(24-x)/5 Or,180-5x=264–11x or, 11x-5x=264-180=84, or, 6x=84, or, x=14 days.
Ans: Arun joins the work after 14 days.
Answer:
6 days
Step-by-step explanation:
Work done by Arun in one day = 1/10
Work done by Varun in one day = 1/15
Therefore, work done by Arun and Varun in one day = 1/10 + 1/15 = 3+2/30 = 5/30 = 1/6
Therefore, Arun and Varun together do 1/6 of the work in 1 day
Thus, they can together finish the work in 6 days. :)
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