# Dhoni can do a piece of work in 80 days. He works at it for 10 days and then Virat alone finishes the work in 42 days...

+1 vote
320 views

Dhoni can do a piece of work in 80 days. He works at it for 10 days and then Virat alone finishes the work in 42 days.
How many number of days would be taken by the two together to finish the work.

posted Jan 21, 2016

Work done by Dhoni in 10 days=(1/80)*10=1/8
Remaining work=(1-1/8)=7/8
Now 7/8 work done by virat in 42 days.
whole work will be done by virat in 42*(8/7)=48days
Dhoni's 1 days work=1/80 & Virat's 1 days work=1/48
(Dhoni+Virat)'s 1 days work=[(1/80)+(1/48)]=8/240=1/30
so both will finish the work in 30days

Yes sir,you are correct, there is a typing mistake.

trick => upper multiply and lower is addition-dhoni work
so (80*42)/((80+42)-10)
=3360/112
=30
so will finish the work in 30 days

Similar Puzzles

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 piece of work n 7 days of 9 hours each and B alone can do it in 6 days of 7 hours each. How long will they take to do it working together 8 2/5 hours a day?

+1 vote

Jatin and Nihal together can complete a work in 10 days. They plan to do the job in a different way. On the first day Jatin works whereas Nihal works for the next 2 days and this pattern is repeated again and again. If they finish the work in 18 days, then in how many days could the man who finishes the work do this work alone ?

+1 vote

Aadesh alone can do a piece of work in 6 days and Bhavesh alone in 8 days. Aadesh and Bhavesh undertook to do it for Rs. 3200. With the help of Chetan, they completed the work in 3 days.

How much is to be paid to Chetan?