Question

6 typists working 5 hours a day can type the manuscript of a book in 16 days. How many days will 4 typists take to do the same job? each working 6 hours a day?

Answer 1

Let's begin by finding the total work required to complete the manuscript of the book:

Total work = (Number of typists) x (Number of hours per day) x (Number of days) = 6 x 5 x 16 = 480

Now let's find the work done by 4 typists working 6 hours per day:

Work done by 4 typists = (Number of typists) x (Number of hours per day) x (Number of days) = 4 x 6 x d

where d is the number of days required to complete the manuscript.

Since the amount of work done is the same in both cases, we can set the two equations equal to each other and solve for d:

6 x 5 x 16 = 4 x 6 x d

Simplifying this equation, we get:

480 = 24d

Dividing both sides by 24, we get:

d = 20

Therefore, it will take 4 typists working 6 hours per day a total of 20 days to complete the manuscript of the book.

Explanation: