Question
Download Solution PDFEight labourers working 10 hours a day completed a work in 18 days. If only 5 labourers are working, then in how many hours a day should they work to finish the work in 24 days?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Number of labourers working initially = 8
Hours per day worked initially = 10
Days taken initially = 18
Number of labourers working later = 5
Days taken later = 24
Formula Used:
Total Work = Number of Labourers × Hours per day × Days
Calculation:
Total Work (initial) = 8 × 10 × 18
Total Work (initial) = 1440 hours
Total Work (later) = 5 × Hours per day × 24
Since Total Work (initial) = Total Work (later)
1440 = 5 × Hours per day × 24
⇒ Hours per day = 1440 / (5 × 24)
⇒ Hours per day = 1440 / 120
⇒ Hours per day = 12
The correct answer is option 4 i.e. 12 hours.
Last updated on Jul 15, 2025
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