A car travels 500 miles in 6 hours. What is its average speed?

The average speed is 83.333333 mph.

v = \frac{d}{t} = \frac{500}{6} = 83.333333\ \text{mph}

How to work it out

1
Write down what you know: distance d = 500 miles, time t = 6 hours. You are asked for the speed v.
2
Use the formula speed = distance ÷ time:
$v = \frac{d}{t} = \frac{500}{6} = \frac{250}{3} = 83.333333$
3
Answer with the unit: 83.333333 mph.
4
The same formula rearranged: distance = speed × time (83.333333 × 6 = 500 miles) and time = distance ÷ speed (500 ÷ 83.333333 = 6 hours).

LaTeX source of the formulas on this page

\[ v = \frac{d}{t} = \frac{500}{6} = 83.333333\ \text{mph} \]
\[ v = \frac{d}{t} = \frac{500}{6} = \frac{250}{3} = 83.333333 \]

What is the speed if a car travels 500 miles in 6 hours?

The average speed is 83.333333 mph.

How far does it go in 3 hours at that speed?

250 miles.