Question
'P' and 'Q' together can complete a task in 20 days. 'P'
alone would take 12 days fewer than 'Q' to finish it. How many days would 'Q' take to do the work alone?Solution
ATQ,
Let the number of days 'Q' takes = x
Then, time taken by 'P' = x β 12
According to the question:
(1/20) = (1/x) + (1/(x β 12))
β (1/20) Γ x Γ (x β 12) = x + (x β 12)
β xΒ² β 12x = 20(2x β 12)
β xΒ² β 12x = 40x β 240
β xΒ² β 52x + 240 = 0
β xΒ² β 48x β 4x + 240 = 0
β x(x β 48) β 4(x β 48) = 0
β (x β 48)(x β 4) = 0
So, x = 48 or x = 4
Since at x = 4, Pβs time becomes negative,
x = 48
Therefore, Q can do the work alone in 48 days.
According to the Agricultural and Processed food products Export Development Authority (APEDA) 2020-2021, which state of India has the first rank in gra...
Who among the following was appointed as the first Municipal Commissioner of Bombay in 1865?
Which one of the following is not the broker platform?
A money bill under Article 111 of the Constitution of India, presented to the President for assent, has to be endorsed by a Certificate of the _________...
What is the budgetary allocation for PMAY 2.0 as per the Union Budget 2024-25?
What is the theme for World Environment Day 2023, which aims to raise awareness about the damaging effects of plastic pollution and emphasizes the impor...
Which Indian musical legend is credited with composing Talas such as Trimukhi, Panchamukhi, Saptamukhi and Navamukhi?
Who was the first president of IOA?
When was the National Green Tribunal established by the Government of India?
What was the main goal of India's second Five Year Plan?