Question
'X' and 'Y' can complete a certain job together in 36
days. They worked together for 20 days, after which 'X' left, and 'Y' completed the remaining work alone in 40 days. Determine the amount of time it would take for 'Y' to finish the entire job if he worked on it alone from the start.Solution
Let the efficiency of 'X' and 'Y' be 'x' units/day and 'y' units/day, respectively. ATQ; 36 × (x + y) = 20 × (x + y) + 40y Or, 36x + 36y = 20x + 60y Or, 16x = 24y So, x = (3y/2) So, total work = 36 × {(3y/2) + y} = 36 × (5y/2) = '90y' units So, required time = 90y ÷ y = 90 days Alternate Solution Part of the work completed by 'X' and 'Y' together in 20 days = (20/36) = (5/9) Remaining part of the work = 1 - (5/9) = (4/9) which is completed by 'Y' alone in 40 days Therefore, time taken by 'Y' to complete the whole work alone = 40 ÷ (4/9) = 40 × (9/4) = 90 days
According to the Directorate General of Commercial Intelligence and Statistics, the value of rice exports in FY23 rose by more than 15% year-on-year to ...
Which Indian port is now the only authorized entry point for importing jute from Bangladesh?
Which organ of the human body is infected by pneumonia?
Which organization attained Navratna status on 30th August 2024?
When will the first ever I2U2 virtual meet be held?
What is the newly approved name of Zepto’s parent company as per the RoC filing?
Which of the following statements about Ladakh's Pangong Lake marathon is/are incorrect?
1. Pangong Lake marathon is titled 'theastrun' and aims ...
Who directed the Indian film “Sunflowers Were the First Ones to Know,” selected for the Cannes Film Festival 2024?
The Press Council of India celebrated the National Press Day on the theme “The Media’s Role in Nation Building” at _____.
Which of the following statements about Tim Paine is true?
I. Paine played in 46 test matches for Australia.
II. Paine became Austra...
Relevant for Exams:
