Question : A is 1.5 times as efficient as B therefore he takes 8 days less than B to complete a work. If A and B work on alternate days and A works on the first day, then in how many days the work be completed?
Option 1: 17 days
Option 2: 19 days
Option 3: 19.5 days
Option 4: 21 days

Question

Question : A is 1.5 times as efficient as B therefore he takes 8 days less than B to complete a work. If A and B work on alternate days and A works on the first day, then in how many days the work be completed?

Option 1: 17 days

Option 2: 19 days

Option 3: 19.5 days

Option 4: 21 days

Team Careers360 · Accepted Answer

Correct Answer: 19 days

Solution : Given: A is 1.5 times as efficient as B.
A takes 8 days less than B to complete a work.
A and B work on alternate days, starting with A.
Let the days taken by B to complete the work be $x$.
So, days taken by A to complete the work = $(x-8)$
According to the question,
$\frac{1}{x-8}=1.5(\frac{1}{x})$
⇒ $x=1.5 imes(x-8)$
⇒ $0.5x=12$
⇒ $x=24$
So, efficiency of B $=\frac{1}{24}$
Efficiency of A $=\frac{1}{16}$
Work done by A and B alternately in 2 days $=\frac{1}{24}+\frac{1}{16}=\frac{5}{48}$
So, work done in 18 days $=9 imes\frac{5}{48}=\frac{15}{16}$
Work left after 18 days $=1-\frac{15}{16}=\frac{1}{16}$
Since A will work on the 19^thday and complete the remaining work.
So, total days = 18 + 1 = 19 days
Hence, the correct answer is 19 days.

Popular Searches

Question : A is 1.5 times as efficient as B therefore he takes 8 days less than B to complete a work. If A and B work on alternate days and A works on the first day, then in how many days the work be completed?
Option 1: 17 days
Option 2: 19 days
Option 3: 19.5 days
Option 4: 21 days

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Popular Searches

Question : A is 1.5 times as efficient as B therefore he takes 8 days less than B to complete a work. If A and B work on alternate days and A works on the first day, then in how many days the work be completed?Option 1: 17 daysOption 2: 19 daysOption 3: 19.5 daysOption 4: 21 days

Related Questions

Question : 30 women working 5 hours a day can complete a work in 18 days, In how many days will 21 women working 8 hours a day complete the same work?Option 1: $18 \frac{7}{13}$ daysOption 2: $17 \frac{11}{13}$ daysOption 3: $16 \frac{1}{14}$ daysOption 4: $13 \frac{3}{14}$ days

Question : A can complete a piece of work in 9 days. B and C can complete the same work in 12 days and 18 days respectively. If A, B, and C work together, then in how many days will they complete the work?Option 1: 10 daysOption 2: 8 daysOption 3: 4 daysOption 4: 15 days

Question : Babita is 1.25 times as efficient as Deepak. Working together, they can complete a piece of work in 40 days. In how many days can Deepak alone complete the same piece of work?Option 1: 84Option 2: 90Option 3: 96Option 4: 100

Question : If 4 men or 6 women can do a piece of work in 12 days, working 7 hours a day. How many days will it take to complete a work twice as large, with 10 men and 3 women working together 8 hours a day?Option 1: 6 daysOption 2: 7 daysOption 3: 8 daysOption 4: 10 days