Question

A and B separately can finish a work in 24,32days respectively the two start together after how many days B leaves that the entire work is finished in 18 days​ please give step by step solution​

Answer 1

Step-by-step explanation:

In A and B separately can finish a work in 24 and 32 days respectively and the two start together, after how many days does B leave that the entire work is finished in 18 days?

A and B separately can finish a work in 24 and 32 days respectively and the two start together, after how many days does B leave that the entire work is finished in 18 days?Solution: Let B work for x days only.

$( \frac{18}{24} ) \: + (\frac{x}{23} ) = 1$

18*32 + 24x = 24*32, or

18*32 + 24x = 24*32, or24x = 32(24–18) = 32*6, or

18*32 + 24x = 24*32, or24x = 32(24–18) = 32*6, orx = 32*6/24 = 8.

18*32 + 24x = 24*32, or24x = 32(24–18) = 32*6, orx = 32*6/24 = 8.So, B left the job after working for 8 days. Answer.

s. Answer.Check: (18/24)+(8/32) = 0.75+0.25 = 1. Correct