Social Sciences, asked by usharanidmes39, 5 months ago

A can do a piece of work in 25 days and B can finish it in 20days. They work together for five days and then A goes away. In how many days will B finish the remaining work????? Please let me know the answer. ​

Answers

Answered by panigrahiarpan2010
1

Answer:

EXPERT VERIFIED

Explanation:

A's 1 day's work =  

25

1

​  

 

Similarly, B's 1 day's work =  

20

1

​  

 

A's and B's together 1 day's work

25

1

​  

+  

20

1

​  

=  

100

4

​  

+  

100

5

​  

=  

100

4+5

​  

=  

100

9

​  

 

Their 5 day's work together = 5 x 1 day's work

1−  

100

45

​  

=  

100

100

​  

−  

100

45

​  

=  

100

100−45

​  

=  

100

55

​  

 

Now, this remaining work is done by B.

Let B takes x days to complete it.

20

1

​  

×x=  

100

55

​  

 

⇒x=  

100

55

​  

×20

⇒x=  

5

55

​  

 

⇒x=11

Hence, B will finish the remaining work in 11 days.

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