Yan can read two pages in 3 minutes. At this rate, how long will it take him to read a 360-page book?

Yan can read two pages in 3 minutes. At this rate, how long will it take him to read a 360-page book?

Detailed Explanation

Using the ratio pages/minutes, the proportion \(\frac{\mathrm{2} }{\mathrm{3}}\) = \(\frac{\mathrm{360} }{\mathrm{x}}\) can be used to find the time.

Cross multiply. 2x = 3 × 360, so 2x = 1,080 and x =1080 ÷ 2 = 540 minutes. Convert minutes to hours.

There are 60 minutes in 1 hour so 540 ÷ 60 = 9 hours.

Cross multiply. 2x = 3 × 360, so 2x = 1,080 and x =1080 ÷ 2 = 540 minutes. Convert minutes to hours.

There are 60 minutes in 1 hour so 540 ÷ 60 = 9 hours.