Question

5. A can do a piece of work in 30 days. He works at it for 5 days and then B finishes it in 20
days. In what time can A and B together it?
30
A. 16 2/3 days
B. 13 1/3 days
C. 17 1/3 days
D. 16 1/2 days
Typen​

Answer 1

Step-by-step explanation:

8 days to conplete the work together

Answer 2

A and B together can complete work in $13 \frac{1}{3}$ days

Step-by-step explanation:

A can do a piece of work in 30 days.

A's 1 day work = $\frac{1}{30}$

A's 5 days work = $\frac{5}{30} =\frac{1}{6}$

Remaining work = $1-\frac{1}{6}=\frac{5}{6}$

B's work in 20 days = $\frac{5}{6}$

B's 1 day work = $\frac{5}{6} \times \frac{1}{20} =\frac{1}{24}$

(A+B)'s 1 day work = $\frac{1}{30}+\frac{1}{24} =\frac{3}{40}$

So, A and b together can do work in days = $\frac{40}{3}= 13 \frac{1}{3} days$

So, Option B is true

Hence A and B together can complete work in $13 \frac{1}{3}$ days

#learn more :

A can do a piece of work in 30 days. he works at it for 5 days and then b finishes it in 20 days. in what time can a and b together it?

https://brainly.in/question/2209597