Question
Download Solution PDFWorking 5 hours a day, A can complete a task in 8 days and working 6 hours a day, B can finish the same task in 10 days. Working 8 hours a day, they can jointly complete the task in __________.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A working hours = 5 hours/day
A can complete a task = 8 days
B working hours = 6 hours/day
B can finish the same task = 10 days
Concept used:
M1 × D1 × H1 = M2 × D2 × H2
M = person ; D = days ; H = hours
Calculation:
According to the question:
⇒ A × 5 × 8 = B × 6 × 10
⇒ A/B = 3/2
Total work = A × 5 × 8 = 3 × 40 = 120 units
Required time taken = 120/{(3 + 2) × 8}
⇒ 120/40 = 3 days
∴ The correct answer is 3 days.
Last updated on Jul 9, 2025
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