(C) $(A+B)$'s $1 \, \text{day}$ work $= \frac{1}{20} + \frac{1}{30} = \frac{3+2}{60} = \frac{5}{60} = \frac{1}{12}$.$(A+B)$'s $7 \, \text{days}$ work

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(C) $(A+B)$'s $1 \, \text{day}$ work $= \frac{1}{20} + \frac{1}{30} = \frac{3+2}{60} = \frac{5}{60} = \frac{1}{12}$.$(A+B)$'s $7 \, \text{days}$ work $= 7 \times \frac{1}{12} = \frac{7}{12}$.Remaining work $= 1 - \frac{7}{12} = \frac{5}{12}$.$C$ finishes this remaining $\frac{5}{12}$ part of the work in $10 \, \text{days}$.Therefore, the time taken by $C$ to finish the full work $= 10 \div \frac{5}{12} = 10 \times \frac{12}{5} = 24 \, \text{days}$.

Competitive Quantitative Aptitude Time and Work and Wages Time and Work

Medium

$A$ can do a piece of work in $20 \, \text{days}$ and $B$ in $30 \, \text{days}$. They work together for $7 \, \text{days}$ and then, both leave the work. Then, $C$ alone finishes the remaining work in $10 \, \text{days}$. In how many $\text{days}$ will $C$ finish the full work?

A
$25$
B
$30$
C
$24$
D
$20$

Explore More

Browse All

Question Bank

All Subjects

Competitive Questions

Competitive

Quantitative Aptitude Questions

Chapter

Time and Work and Wages

Subtopic

Time and Work

Raj and Ram working together can do a piece of work in $10 \text{ days}$. Raj alone can do it in $12 \text{ days}$. In how many days will Ram alone do the work?

Easy

View Solution

$6$ men or $12$ women can do a piece of work in $20$ days. In how many days can $8$ men and $16$ women do twice as big as this work?

Medium

View Solution

$A$ and $B$ can do a piece of work in $45$ days and $40$ days respectively. They began to do the work together,but $A$ leaves after some days and then $B$ completed the remaining work in $23$ days. The number of days after which $A$ left the work was:

Difficult

View Solution

$A, B$ and $C$ can complete a piece of work in $24, 6$ and $12 \text{ days}$ respectively. Working together,they will complete the same work in (in $\text{days}$):

Easy

View Solution

$A$ and $B$ working separately can do a piece of work in $10 \text{ days}$ and $15 \text{ days}$ respectively. If they work on alternate days beginning with $A$,in how many days will the work be completed?

Easy

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

$A$ can do a piece of work in $20 \, \text{days}$ and $B$ in $30 \, \text{days}$. They work together for $7 \, \text{days}$ and then, both leave the work. Then, $C$ alone finishes the remaining work in $10 \, \text{days}$. In how many $\text{days}$ will $C$ finish the full work?

Similar Questions

Raj and Ram working together can do a piece of work in $10 \text{ days}$. Raj alone can do it in $12 \text{ days}$. In how many days will Ram alone do the work?

$6$ men or $12$ women can do a piece of work in $20$ days. In how many days can $8$ men and $16$ women do twice as big as this work?

$A$ and $B$ can do a piece of work in $45$ days and $40$ days respectively. They began to do the work together,but $A$ leaves after some days and then $B$ completed the remaining work in $23$ days. The number of days after which $A$ left the work was:

$A, B$ and $C$ can complete a piece of work in $24, 6$ and $12 \text{ days}$ respectively. Working together,they will complete the same work in (in $\text{days}$):

$A$ and $B$ working separately can do a piece of work in $10 \text{ days}$ and $15 \text{ days}$ respectively. If they work on alternate days beginning with $A$,in how many days will the work be completed?

Vedclass Test Series

Exam Paper Generator

Online Exam Module