CLEAR
Toprankers-Info

+91 7676564400

Mobile App

Get it on Google Play
Discussions
Tags:

Articles

Discussions
Submit Discussion
Amresh sIngh

· started a discussion

· 1 Months ago

Days and work (Question:1084968.0)

In the question it is given that C is 40% less efficient, ignoring this in the given solution the calculation is done by taking (140% * A) is unjustified.

Question:

A and B can together finish a piece of work in 10 days. If A starts working and after 3 days, A is replaced by B and B finished the remaining work in 24 days.

Quantity I: 

Number of days taken by B alone to finish the piece of work.

Quantity II: 

Number of days taken by C alone to finish the piece of work. (C is 40% less efficient than A).

Options:
A)

Quantity I = Quantity II or the relationship cannot be established from the information that is given

B)

Quantity I  ≤    Quantity II

C)

Quantity I   ≥    Quantity II

D)

Quantity I < Quantity II

E)

Quantity I > Quantity II

Solution:

Ans: (e) Number of days taken by A and B together to finish a work =10 days

∴     1 day’s work of A and B  =110    

⇒     1A+1B=110   

⇒1A=110-1B    ...............(i)

According to the question,

1A×3+1B×24=1    

⇒3 110-1B+24B=1        [from eq. (i)]

⇒     310-3B+24B=1   

⇒21B=1-310    

⇒B=21×107    = 30 days

B alone can complete the work in 30 days.

A alone can complete the work in 15 days.

i.e.   1A=110-130    

⇒    A = 15 days.

Quantity I: Number of days taken by B alone to finish the piece of work = 30 days.

Quantity II: Number of days taken by C to complete the work  =140100×    (A days)

=140100×15=21    days.

∴    Quantity I > Quantity II

-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