Question
Download Solution PDFP can do a piece of work in 30 days and Q in 40 days. They work together for 4 days and then Q leaves. The number of days taken by P to finish the remaining work is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
P can do a piece of work in 30 days
Q can do a piece of work in 40 days
They work together for 4 days
Formula used:
Work done by P in 1 day = \(\dfrac{1}{30}\)
Work done by Q in 1 day = \(\dfrac{1}{40}\)
Work done by P and Q together in 1 day = \(\dfrac{1}{30} + \dfrac{1}{40} = \dfrac{4+3}{120} = \dfrac{7}{120}\)
Calculation:
Work done by P and Q together in 4 days = 4 × \(\dfrac{7}{120}\)
⇒ Work done in 4 days = \(\dfrac{28}{120} = \dfrac{7}{30}\)
Remaining work = 1 - \(\dfrac{7}{30}\)
⇒ Remaining work = \(\dfrac{30-7}{30} = \dfrac{23}{30}\)
Number of days taken by P to finish the remaining work = \(\dfrac{23}{30} \times 30 = 23\)
∴ The correct answer is option 2.
Last updated on Jun 17, 2025
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