Question
Download Solution PDFRamesh and Suresh can complete a piece of work in 10 days and 12 days, respectively. If they are working on alternate days, starting with Ramesh, in how many days will the entire work be finished?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Ramesh can complete a piece of work in 10 days
Suresh can complete a piece of work in 12 days
Formula Used:
Efficiency = (Total Work)/(Time )
Calculations:
Let the total work be 60 units
⇒ Efficiency of Ramesh = 60/10 = 6 units/day
⇒ Efficiency of Suresh = 60/12 = 5 units/day
Combined Efficiency = 6 + 5 = 11 units/day
According to the question,
Work done in 2 days = 11 units
⇒ Work done in 10 days = 55 units
Remaining work = 5 units
On 11th day, Ramesh will complete remaining 5 units
Time required by Ramesh = 5/6 days
⇒ Total time required = 10 + (5/6) = 10(5/6) days
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