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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’s marks in Mathematics are directly proportional to practice time. In 6 hours of practice, A gets 70 marks. What should be the practice time (approximately) to get 90 marks?

  2. The average of the areas of 2 similar triangles is 706.5 m2 whose perimeters are in the ratio of 6 : 11. What is 20% of the difference (in m2) in areas of both triangles?

  3. In a triangle ABC, D and E are two points on sides AB and AC, respectively, such that DE is parallel to BC and AD : DB = 3 : 5. If AC = 5.6 cm, then find the value (in cm) of AE.

  4. In a triangle ABC, P and Q are two points on AB and AC, respectively, such that PQ is parallel to BC. If AC = 5QC, then the ratio PQ : BC is equal to:

  5. Find the mean proportional between 25 and 81.

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