Diva and arun can do a piece of work in 20 days and 30 days respectively the work together and five days before the work finished.Arun finished the remaining work
Answers
Answer:
It takes 12½ days to complete the remaining part of the work.
Step-by-step explanation:
Given the number of days Diva and Arun take to complete the work, we can get the days they take to finish the work if they are working together.
Diva = 20 days
Arun = 30 days.
In 1 day each do a piece of work equivalent to :
Diva = 1/20
Arun = 1/30
In one day the total work done by both Arun and Diva is :
= 1/30 + 1/20 = 1/12
In one day they do 1/12 of the work.
To complete the work they take :
12/1 × 1 = 12 days.
If Diva leaves 5 days before work is finished the remaining work will be :
They will have worked for = 12 - 5 = 7days
The amount of work done in 7 days will be :
In 1 day = 1/12
7 days =?
7 × 1/12 = 7/12 of the work is done.
The remaining work is = 12/12 - 7/12 = 5/12
Arun finishes the work alone :
In one day Arun does = 1/30 of the work
In how many days will he do 5/12 of the work.
5/12 × 30/1 = 12½ days
It takes Ajun 12½ days to complete the remaining work.