Question

Sanjay and Ranbir can do a piece of work in 45 and 40 days respectively they work together but after some days and B finish the remaining work in 23 days after how many days did Sanjay leave​

Answer 1

Answer:

Snajay left after 9 days.

Step-by-step explanation:

Productivity of Sanjay = 1/45 work/day

Productivity of Ranbir = 1/40 work/day

Productivity of Both working together = 1/45 +1/40

= 17/360 per day.

Ranbir did 23 days of work.

Thus the total amount of work will be:

23 x 1/40 = 23/40 (Amount of work)

Remaining work = 1 - 23/40 = 17/40.

This is done by Sanjay and Ranbir together.

Number of days they worked together = (17/40) / (17/360) = 9 Days

Answer 2

$\huge{\underline{\underline{\sf{\blue{SOLUTION:-}}}}}$

$\bigstar\:\:\sf{\underline{\pink{Answer-}}}$

• Sanjay leave after 9 days.

$\bigstar\:\:\sf{\underline{\pink{Given-}}}$

• Sanjay and Ranbir can do a piece of work in 45 and 40 days respectively they work together but after some days and B finish the remaining work in 23 days.

$\bigstar\:\:\sf{\underline{\pink{We\:Have\:To\:Find-}}}$

• After how many days did Sanjay leave?

$\bigstar\:\:\sf{\underline{\pink{Explanation-}}}$

$\sf Sanjay \: does \: the \: job \: in \: 45 \: days. \:$

$\sf \: Then \: work \: done \: by \: Sanjay \: = \frac {1}{45}$

$\sf \: Ranbir \: does \: the \: job \: in \: 40 \: days.$

$\sf \: Then \: work \: done \: by \: Ranbir \: = \frac{1}{40}$

$\sf \: Work \: done \: by \: both \: together = \frac{1}{45} + \frac{1}{40}= \frac{17}{360}$

$\sf \: After \: Sanjay \: leaves,$

$\sf \: Ranbir \: completes \: the \: remaining \: work \: in \: 23 \: days.$

$\sf \: Ranbir's \: part \: of \: work \:in \: 23 \: days = \frac{23}{40}$

$\sf \: Remaining \: part \: = 1 - \frac{23}{40} = \frac{17}{40}$

$\sf \: Remaining \: part \: \frac{17}{30} \: is\: done \: by \: both \:$

$\sf \: Number \: of \: days \: Sanjay \: Leaves-$

⠀⠀$\sf \: = \frac{17}{40} \div \frac{17}{360}$

⠀⠀$\sf \: = \frac{17}{40} \times \frac{360}{17}$

⠀⠀$\sf \: = \frac{360}{40}$

⠀⠀$\sf= 9 \: days$

$\bigstar\:\boxed{\sf{Hence,\:Sanjay\:leaves\:after\:9\:days.}}$