Question

The number of hours (t) varies directly as the number of pages (p) that Ethan reads. If he can read 14 pages in 42 minutes, how may pages can he read in 1 hour?

Answer 1

Answer:

If the number of pages read by Ethan is p and the time is t then

p ∝ t

or p = kt            where k is a constant

Given that Ethan reads 21 pages in 14 minutes

Thus,

21 = 14k

or, k = 21/14

or, k = 3/2 = 1.5

Therefore, the equation becomes

p = 1.5t

Therefore, the number of pages read in 21 minutes

p = 1.5 ×  21

or, p = 31.5

Therefore, Ethan can read 31.5 pages in 21 minutes

Hope this answer is helpful.

Step-by-step explanation: