Question
Download Solution PDFC can do a piece of work in 24 days and D in 16 days. They began the work together, but D left the work 4 days before its completion. In how many days was the work completed ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
C can do a piece of work in 24 days
D can do a piece of work in 16 days
D left the work 4 days before its completion
Formula used:
Work done by C in 1 day = 1/24
Work done by D in 1 day = 1/16
Calculation:
Let the total work be 1 unit.
Let the total time taken to complete the work be x days.
D works for (x - 4) days.
Work done by C in x days = x/24
Work done by D in (x - 4) days = (x - 4)/16
Since the total work is 1 unit:
x/24 + (x - 4)/16 = 1
⇒ (2x + 3(x - 4))/48 = 1
⇒ (2x + 3x - 12)/48 = 1
⇒ 5x - 12 = 48
⇒ 5x = 60
⇒ x = 12
∴ The correct answer is option (3).
Last updated on Jun 11, 2025
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