Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
Olympiad workbook
Exam
Olympiad workbook
Subject
IOQM
Chapter
Basics of Mathematics

Olympiad workbook · IOQM · Basics of Mathematics

A contractor has two teams of workers : team A and team B. Team A...

A contractor has two teams of workers : team A and team B. Team A can complete a job in 12 days and team BB can do the same job in 36 days. Team A starts working on the job and team B joins team AA after four days. The team AA withdraws after two more days. For how many more days should team B work to complete the job ?

Correct answer

16

Step-by-step solution

Let total worker in team A be x Let total worker in team B be y Given 12x=36y12 \mathrm{x}=36 \mathrm{y} x = 3y Per worker work done per day be W . total work 36×W×y36 \times \mathrm{W} \times \mathrm{y} 36Wy=6×Wx+MWyM=2+ Number of more days. 36y=18y+MyM=18y+MyM=18\begin{aligned} & 36 W y=6 \times W x+M W y \\ & M=2+\text { Number of more days. } \\ & 36 y=18 y+M y \\ & M=18 y+M y \\ & M=18 \end{aligned} Hence 16 more days
Practice Basics of Mathematics on Quantrex Academy →

More from Basics of Mathematics

All Basics of Mathematics questions Full Basics of Mathematics list All Olympiad workbook PYQs