james reads at a rate of 4 pages every 6 minutes. how long will it take him to read 32 pages if he reads at the same rate?
32/4 = 8
8 * 6 = ? minutes
48
8 * 6 is 48. he reads 32 pages in 48 minutes
To find out how long it will take James to read 32 pages, we first need to determine how many pages he reads per minute.
We can set up a proportion to solve for the number of pages read per minute:
4 pages / 6 minutes = x pages / 1 minute
To solve for x, we can cross-multiply and divide:
4 * 1 minute = 6 * x
4 = 6x
x = 4/6
x = 2/3
So, James reads 2/3 of a page per minute.
Next, we can calculate how long it will take him to read 32 pages.
If he reads 2/3 of a page per minute, we can set up another proportion:
2/3 page / 1 minute = 32 pages / y minutes
Cross-multiplying and solving for y:
(2/3) * y = 32
y = 32 * (3/2)
y = 48
Therefore, it will take James 48 minutes to read 32 pages at the same rate.