Vin read 10 pages of a book in 12 minutes. At that rate, how long will it take him to read 35 pages?

Answer 1

This can be setup as a proportion problem and easily solved by the cross product. We know that Vin reads 10 pages in 12 minutes and the rate of reading the pages does not change. The first fraction is:

12 minutes

10 pages

The second fraction is what we are trying to find:

(How many minutes)

35 pages

Notice if I have minutes in the numerator of the first fraction, I need to have minutes in the numerator (on top) of the second fraction. I could have put pages on top of both fractions and still solved the problem. So lets do the next step. Put the first and second fraction equal to each other forming the proportion.

12 minutes = (How many minutes)

10 pages 35 pages

This gives 12 X 35 = 10 X (How many minutes) or 420 = 10 X (How many minutes).

Divide both sides by 10 and we have 42 for (How many minutes). Or we just say it takes 42 minutes to read 35 pages.

Answer 2

First, we can figure out how many pages he reads in one minute by dividing the number of pages by the number of minutes. Therefore, Vin reads at a rate of 10/12 pages per minute. Then we have to divide 10/12 into 35, which is 42. If Vin keeps reading at the same rate, he will finish 35 pages in 42 minutes.

Answer 3

Rate of reading r = 10/12 pages/min. Then time to read 35 pages t = 35/(10/12) min = 42 min.