A typewriter types 840 words in 2.4 hours. Working at the same rate, how many words will he type in 3.6 hours?

1 answer

To find the number of words the typewriter will type in 3.6 hours, we need to use proportions. Let's set up the proportion:

840 words is to 2.4 hours as X words is to 3.6 hours.

This can be written as:

840 / 2.4 = X / 3.6

Next, we can cross-multiply to solve for X:

2.4X = 840 * 3.6

Divide both sides by 2.4 to isolate X:

X = (840 * 3.6) / 2.4

Simplifying this gives:

X = 1260 words.

Therefore, the typewriter will type 1260 words in 3.6 hours.