Question
Download Solution PDFA can do 20% of a job in 7 days and B can do 25% of the job in 7 days if they worked alone. How much of the job (in percentage) can they complete in 7 days if they worked together?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A can do 20% of a job = 7 days
B can do 25% of the job = 7 days
Formula used:
Total work = efficiency × time
Calculation:
A can do 20% of a job = 7 days
A can do 100% of a job = 7 × 5 = 35 days
B can do 25% of the job = 7 days
B can do 100% of the job = 7 × 4 = 28 days
According to the question:
⇒ A × 35 = B × 28
⇒ A/B = 4/5
Total work = A × 35 = 4 × 35 = 140 units
Both work together for 7 days = (5 + 4) × 7
⇒ 9 × 7 = 63 units
Percentage job complete in 7 days = (63 × 100)/140
⇒ 9 × 5 = 45%
∴ The correct answer is 45%.
Last updated on Jun 13, 2025
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