Knowee
Questions
Features
Study Tools

B is twice efficient than A and the total time taken to complete the work by both A and B together is 22 days. Find thenumber of days taken by B to complete the work alone.

Question

B is twice efficient than A and the total time taken to complete the work by both A and B together is 22 days. Find thenumber of days taken by B to complete the work alone.

🧐 Not the exact question you are looking for?Go ask a question

Solution

Let's solve this step by step:

Step 1: Let's assume the amount of work to be 1 unit.

Step 2: Let's say A takes 'x' days to complete the work alone. So, A's work rate is 1/x.

Step 3: Since B is twice as efficient as A, B takes 'x/2' days to complete the work alone. So, B's work rate is 2/x.

Step 4: According to the problem, A and B together can complete the work in 22 days. So, their combined work rate is 1/22.

Step 5: We know that the combined work rate is the sum of the individual work rates. So, we can write the equation: 1/x + 2/x = 1/22.

Step 6: Solving this equation gives x = 44.

So, A alone can complete the work in 44 days and B, being twice as efficient, can complete the work alone in 44/2 = 22 days.

This problem has been solved

Similar Questions

B is twice as efficient as A and A can do a piece of work in 21 days. A started the work and after a few days B joined him. They completed the work in 15 days from starting. For how many days did they work together?Select one:a. 2 daysb. 3 daysc. 6 1/2 daysd. 5 dayse. 6 days

when working alone A takes 24 more days than time taken by A and B together to finish certain work. If A is 50% more efficient than B, then find the time taken by B to finish the work alone.

A and B can do a work in 30 days. If A worked twice as fast and B worked one-fourth as efficiently as he usually does, the work would still be completed in 30 days. Find the time taken (in days) by A alone to do the work.

If A is 25% as efficient as B and can complete a certain work taking 15 days more than the time taken by B, in how many days will both A and B together complete the work?4 days5 days7 days10 days

Select the correct answerA, B and C together can finish a piece of work in 30 days. If A and C is twice efficient than B. A and B is thrice efficient than C in how many days A alone can complete the work?Options84 days80 days75 days72 days

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.