# If a car averages 50 1/3 miles per hour, how many hours will it take to go 47 1/2 miles?

Sep 22, 2017

0.944 hrs, or 56 minutes, 36 secs.

#### Explanation:

Best math teacher I ever had said: "Memorize as little as possible in mathematics." Words to live by.

One thing you SHOULD remember is that $d = r t$

Distance = rate x time.

You're given 2 of these, and so can solve for the other.

$r = 50 \frac{1}{3}$

$d = 47 \frac{1}{2}$

$t = \frac{d}{r} = \frac{47 \frac{1}{2}}{50 \frac{1}{3}}$

$= 0.944 h r s$ (rounding)

$= 56.6$ minutes = 56 minutes, 36 seconds. Or thereabouts.

Sep 22, 2017

56.6 minutes.

#### Explanation:

distance = speed x time.

So in this problem distance = $\frac{95}{2}$

speed = $\frac{151}{3}$

These have just been converted to improper fractions, this makes it easier when solving equations.

So we have:

$\frac{95}{2} = \frac{151}{3} t$

Solving for t:

Multiply both sides by 3:

$\frac{285}{2} = 151 t$

Multiply both sides by 2:

$285 = 302 t$

Divide both sides by 302:

$t = 0.9437$
4 .d.p

Time in minutes:

$0.9437 \times 60 = 56.6$

56.6 minutes.