30 Views

Question : A, B and C can work separately in 18, 36 and 54 days. They started the work together, but B and C left 5 days and 10 days, respectively, before the completion of the work. In how many days was the work finished?

Option 1: 15 days

Option 2: 13 days

Option 3: 14 days

Option 4: 12 days


Team Careers360 14th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

Correct Answer: 13 days


Solution : A, B, and C can do work separately in 18, 36, and 54 days
Let the total work = LCM (18, 36, and 54) = 108 units
Efficiency = $\frac{\text{Total work}}{\text{Number of days}}$
So, Efficiency of A = $\frac{108}{16}$ = 6
Efficiency of B = $\frac{108}{36}$ = 3
Efficiency of C = $\frac{108}{54}$ = 2
Additional work that could have been done by B and C for 5 days and 10 days = 5 × 3 + 2 × 10 = 35
Total effective work = 108 + 35 = 143
The number of days required to finish the work = $\frac{\text{Total work}}{\text{Efficiency(A + B + C)}}$
= $\frac{143}{6 + 3 + 2}$
= $\frac{143}{11}$
= 13
Hence, the correct answer is 13 days.

SSC CGL Complete Guide

Candidates can download this ebook to know all about SSC CGL.

Download EBook

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books