CLEAR
Toprankers-Info

+91 7676564400

Mobile App

Get it on Google Play
Discussions
Select Date
Tags:

Articles

Discussions
Submit Discussion
pradeep

· started a discussion

· 1 Months ago

time and work (Question: 201477.0 )

plz provide lcm method

Question:

Varun alone can do a piece of work in 16 hours while Akash alone can do it in 18 hours. They together took Rs. 360 to do the same work. If with the help of Arun, they finish the piece of work in 4 hour, then how much money is paid to Arun?

Options:
A) Rs. 170
B) Rs. 180
C) Rs. 190
D) Rs. 200
Solution:
Ans: (c)



Alt sol:


Varun's work for 4 hr. = 4 × 1/16 = 1/4 part


Varun gets 1/4 × 360 = Rs 90


Akash's work for 4hr. = 4 × 1/18 = 2/9 part


Akash gets = 2/9 × 360 = Rs 80


So, Arun gets = 360 – (90 + 80) = Rs 190

Ujwal Rajput

· commented

· 1 Months ago

work done by varun in 1 hr=(1/16)=(9/144)
work done by akash in 1 hr=1/18=(8/144)
work done by arun in 1 hr=1/x
(1/16)+(1/18)+(1/x)=(1/4)
by solving x=144/19
hence work done by arun=19/144
work ratio of varun, akash and arun=9:8:19
amount of work done by arun of the total work=19/36
hence (19/36)*360=190

Knowledge Expert

· commented

· 1 Months ago

Dear Student,

Varun Can do a work in 1 hour =1/16
Akash can do a work in 1 hour =1/18

Ratio between varu and akash's work = 9:8

Arun worked for 4 hour
thus
144/X= 4
X= 36 for total work.
So the work ratio between Varn:Akash:Arun
9: 8 : 19
Arun gets = 19/36* 360
= 190 Rs

Keep learning with us!!
Best wishes
Team Toprankers
-logo
We at aim to provide most comprehensive content & test for practice which is carefully divided into various chapters and topics to help you focus on your weak areas.Our Practice mock test gives you unmatched analytics to help you realize your strong areas,time management and improvement areas.Our Short & Crisp notes on each topic will help you to quickly revise the topic along with the tips & tricks of the exams.
More About
-Info
-Info

Mobile App

Get it on Google Play
About Us Campus Ambassador Careers Contact Us Refund Policy

All Rights Reserved Top Rankers

User Policy
Disclaimer
Terms & Conditions