Question
Download Solution PDFA can do a piece of work in 8 days, while B can do it in 18 days. In how many days will the work be completed if they both work on alternate days starting with B?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A can do a piece of work in 8 days, while B can do it in 18 days.
Concept used:
Efficiency = (Total work / Total time taken)
Efficiency = work done in a single day
Calculation:
Let the total work is the 72 units (LCM of 8 and 18)
The efficiency of A is 72 / 8 = 9 units
The efficiency of Bi is 72 / 18 = 4 units
In 2 days they do 9 + 4 = 13 units
They do 65 units of work in 5× 2 = 10 days
Then B does 4 units in 1 day
Then A does 3 units in 1/3 day
Total number of days will be 10 + 1 + 1/3 = 11\(\frac{1}{3}\)
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