Question
Download Solution PDFP can do a piece of work in 20 days and Q can do it in 25 days. If they work on it together for 4 days, then what percentage of work will be left?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFData:
P's work rate (Wp) = 1/20 work/day
Q's work rate (Wq) = 1/25 work/day
Time worked together (t) = 4 days
Concept:
The combined work rate of P and Q is Wp + Wq.
The amount of work done is the product of the work rate and time.
Solution:
Step 1: Find combined work rate:
⇒ W = Wp + Wq = 1/20 + 1/25 = 9/100 work/day
Step 2: Find work done together in 4 days:
⇒ Work_done = W × t = 9/100 × 4 = 36/100 = 0.36 of the work
Step 3: Calculate percentage of work left:
⇒ Work_left = 1 - Work_done = 1 - 0.36 = 0.64 = 64%
Hence, 64% of the work will be left.
Last updated on Jul 8, 2025
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