Question

Choose the expression that would equal the number of hours in the following question. If a car averages 50 1/3 miles per hour, how many hours will it take to go 47 1/2 miles?
583/6
285/302
302/285
45,602/6

Answer 1

50 (1/3) mph
47 (1/2) = 47.5 mph

47.5 / 50 (1/3) = 0.943708609271523 hours

times 60 =
56.6225165563  minutes =

56 minutes 37.3509933775 seconds

Answer 2

Answer: $\frac{285}{302}$

Step-by-step explanation:

The first step is to turn the mixed numbers into whole numbers:

$50\frac{1}{3}=\frac{(50*3)+1}{3}=\frac{151}{3}\\ \\47\frac{1}{2}=\frac{(47*2)+1}{2} = \frac{95}{2}$

Then, to solve the problem you can use a simple rule of three:

151/3 miles ---------- 1 h

95/2 miles ---------- x

$x=\frac{\frac{95}{2}*1 }{\frac{151}{3} } =\frac{3*95}{2*151} =\frac{285}{302}$

So, the car will take $\frac{285}{302}$ hours to go $47\frac{1}{2}$ miles.