Question
Download Solution PDFRobin and Varun together can paint a hall in 6 days. Robin alone can paint it in 42 days. In how many days can Varun alone paint it?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Robin and Varun together can paint in 6 days
Robin alone can paint in 42 days
Formula used:
Work = LCM of days taken
Efficiency = Work ÷ Time
Time taken by Varun = Total work ÷ Varun’s efficiency
Calculations:
⇒ LCM of 6 and 42 = 42
⇒ Total work = 42 units
⇒ Robin’s 1 day work = 42 ÷ 42 = 1 unit
⇒ Together 1 day work = 42 ÷ 6 = 7 units
⇒ Varun’s 1 day work = 7 - 1 = 6 units
⇒ Time = 42 ÷ 6 = 7 days
∴ Varun alone can paint the hall in 7 days.
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