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Question

A typist takes 40 minutes to type 2 pages. How long (in minutes) will he take to type 84 pages?

The correct answer is
1680

Calculate Typing Time for 84 Pages

The problem requires finding the total time needed to type 84 pages, given the time it takes to type 2 pages.

Determine Typing Rate

First, calculate the time taken per page.

  • Time for 2 pages = 40 minutes
  • Time per page = $\frac{\text{Time for 2 pages}}{\text{Number of pages}} = \frac{40 \text{ minutes}}{2 \text{ pages}}$
  • Time per page = $20$ minutes/page

Calculate Total Time for 84 Pages

Next, use the time per page to find the total time for 84 pages.

  • Time for 84 pages = Time per page $\times$ Number of pages
  • Time for 84 pages = $20 \text{ minutes/page} \times 84 \text{ pages}$
  • Time for 84 pages = $1680$ minutes

Therefore, the typist will take 1680 minutes to type 84 pages.

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Important Questions from Ratio and proportion

  1. A sum of Rs. 2,500 is distributed among X, Y and Z in the ratio 1/2 : 3/4 : 5/6 . What is the difference between the maximum share and the minimum share?

  2. In a class, there are three groups A, B and C. If one student from group A and two students from group B are shifted to group C, then what happens to the average weight of the students of the class?

  3. How many different sums can be formed with the denominations Rs. 50, Rs. 100, Rs. 200, Rs. 500 and Rs. 2,000 taking at least three denominations at a time?

  4. In a 500 metres race, B starts 45 metres ahead of A, but A wins the race while B is still 35 metres behind. What is the ratio of the speeds of A to B assuming that both start at the same time?

  5. The monthly incomes of Peter and Paul are in the ratio of 4 : 3. Their expenses are in the ratio of 3 : 2. If each saves Rs. 6,000 at the end of the month, their monthly incomes respectively are (in Rs.)

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