Question
Download Solution PDFA can do
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A can do a piece of work = 96 days
B can do a piece of work = (24 × 200)/75 = 64 days
C can do a piece of work = (48 × 100)/60 = 80 days
Formula used:
Total work = efficiency × time
Calculation:
Efficiency | Person | Time | Total work |
10 | A | 96 | 960 |
15 | B | 64 | |
12 | C | 80 |
According to the question:
⇒ (B + C) × x + (A + C) × (x + 8) = 960
⇒ 27 × x + 22 × (x + 8) = 960
⇒ 27x + 22x + 176 = 960
⇒ 49x = 784
⇒ x = 784/49 = 16 days
Total work done by C in 3.5x days = 3.5 × 16 × 12 = 672
Required fraction = 672/960 = 7/10
∴ The correct answer is 7/10.
Last updated on Jul 2, 2025
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