# Shortcut of Time and work-3

August 28, 2016
7 Views

Shortcut 68:
Three men working together
$\frac{ABC}{AB+BC+AC}$
Question:
A can do a work in 40 days, B in 50 days and C in 60 days. If they work together, how long will they take to complete the work?
A = 40
B = 50
C = 60
Substitute the values in the above formula, we get
Time taken together = (40 x 50 x 60)/(40 + 50 + 60)
= 16.21 days

Shortcut 69:
Work done
Work Done=per day work*number of days
Question:
A can do a piece of work in 40 days. What is the fraction of work done by him in 25 days?
Per day work of A = 1/40
Number of days for which A worked = 25
Work done = (1/40) x 25
= 5/8

Shortcut 70:
Remaining work
$Remaining work=1-work done$
Question:
A can do a work in 30 days, B in 40 days. A works for 9 days and the remaining work is done by B. What is the total number of days to complete the work?
Time taken to complete the work
= Remaining work x time to finish full work
Remaining work for B = 1 – Work done by A
Work done by A = (1/30) x 9 = 3/10
Remaining work for B = 1 – 3/10 = 7/10
Time taken by B to complete the remaining work
= 7/10 x 40
= 28 days
Total time taken = 28 + 9 = 37 days

Shortcut 71:
Salary ratio of two men working together
$S_A:S_B=B:A$
Question:
A can do a work in 20 days and B can do the same work in 40 days. They both work together and get a combined salary of Rs. 3000. What is the salary of A?
SA = Salary of A
SB = Salary of B
A = 20; B = 40
SA : SB = 40 : 20 = 2 : 1
SA = [2/(2+1)] x 3000
= 2000
Salary of A = Rs. 2000

Shortcut 72:
Salary ratio of three men working together
$S_A:S_B:S_c=\frac1A:\frac1B:\frac1C$
Question:
A can do a work in 30 days B in 40 days and C in 50 days. If they all work together, what will the ratio between their salaries?
A = 30
B = 40
C = 50
SA : SB : SC = (1/30) : (1/40) : (1/50)
The ratio between their salary = 20 : 15 : 12

## You may be interested

General Awareness
0 shares67 views
General Awareness
0 shares67 views

## Introduction to Indian Cultural Heritage –Indian Culture and Tradition

Santhosh - May 29, 2017

https://youtu.be/lK3oqU2WNY0  In the first session we will be knowing gist of everything.. More than 1.3 billion people live in Indian…

Computer Awareness
0 shares62 views
Computer Awareness
0 shares62 views

## Components of Computer System – An Introduction to CPU, I/O Devices

Santhosh - May 29, 2017

https://youtu.be/A1LwJRYiaho Welcome to the second session of computer awareness series. In the last session, we have seen about the history…

English Language
0 shares235 views
English Language
0 shares235 views

## Daily Vocabulary from THE HINDU – Episode 127 – May 27, 2017

Santhosh - May 27, 2017

Hello Friends, Based on the requests received from many users, we have introduced antonyms of the words that we are…