Two brooms leave town at the same time going in opposite directions. One travels at 45 mi/hr. The other travels at 30 mi/hr. In how many hours will they be 800 miles apart?

53.33 hours or 53 hours and 20 minutes.

Explanation:

Given, one travels at 45 miles/hr and another 30 miles/hour.

Let, the slower broom, S1 = 30t

According to the Question,

S1 + 800 = 45t ... (1)

S1 = 45t - 800 ... (2)

t is constant for because time is equal for both.

Now, putting (1) in equation (2),

30t = 45t - 800

30t - 45t = - 800

15t = 800

t = 53.33

So, the answer is 53.33 hours.