Question

A & B start working on a project. they work alternately with each of them working for 3days . if A starts first it takes 10 days to complete the work if b Start first it takes 1/2 more day. find the number of days in which they can finish the work if they work together.

Answer 1

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Answer 2

Answer:

The number of days in which they can finish the work if they work together is 5.12 days.

Step-by-step explanation:

Given : A and B start working on a project. they work alternately with each of them working for 3 days. If A starts first it takes 10 days to complete the work If B Start first it takes 1/2 more day.

To find : The number of days in which they can finish the work if they work together?

Solution :

According to question,

A can finish work in 10 days

So, Work done by A in 1 day is $A=\frac{1}{10}$

B can finish work in 10.5 days

So, Work done by B in 1 day is $B=\frac{1}{10.5}$

When they work together,

$A+B=\frac{1}{10}+\frac{1}{10.5}$

$A+B=\frac{10.5+10}{10\times 10.5}$

$A+B=\frac{20.5}{105}$

They complete work in $\frac{105}{20.5}=5.12$ days.

Therefore, The number of days in which they can finish the work if they work together is 5.12 days.