Question

Ranjan can do a piece of work in 24 days while Amit can do it in 30 days .In how many days can they complete it,if they work together?​

Answer 1

Answer:

13⅓ Days

Step-by-step explanation:

Ranjan can do 1/24 of work in 1 day. While Amit can do 1/30 of work in 1/30.

So Amount of work done by both of Them is 1/24 + 1/30

= 24+30/720

54/720 = 3/40

Reciprocal of 3/40 Is 40/3

40/3 = 13 ⅓ Days.

Therefore, If Ranjan and Amit can do work together then they can complete that work in 13⅓ Days.

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Answer 2

Given:

Ranjan can do a piece of work in 24 days.

Amit can do it in 30 days.

To find:

In how many days can they complete it, if they work together.

Solution:

Ranjan can do a piece of work in 24 days.

Work done by Ranjan in 1 days = $\frac{1}{24}$

Amit can do a piece of work in 30 days.

Work done by Amit in 1 days = $\frac{1}{30}$

Work done by both Ranjan and Amit together in 1 day is,  $\frac{1}{24}$ + $\frac{1}{30}$ = $\frac{54}{720}$

Work done by both Ranjan and Amit together in 1 day = $\frac{3}{40}$

Total number of days required to finish the work by Ranjan and Amit is,

$\frac{1}{\frac{3}{40} }$= $\frac{40}{3}$

Total number of days required to finish the work by Ranjan and Amit = $13\frac{1}{3}$

Final answer:

In 13.4 days Ranjan and Amit can complete a piece of work, if they work together.