A car travels 410 miles in 8 hours. What is its average speed?

The average speed is 51.25 mph.

v = \frac{d}{t} = \frac{410}{8} = 51.25\ \text{mph}

How to work it out

1
Write down what you know: distance d = 410 miles, time t = 8 hours. You are asked for the speed v.
2
Use the formula speed = distance ÷ time:
$v = \frac{d}{t} = \frac{410}{8} = \frac{205}{4} = 51.25$
3
Answer with the unit: 51.25 mph.
4
The same formula rearranged: distance = speed × time (51.25 × 8 = 410 miles) and time = distance ÷ speed (410 ÷ 51.25 = 8 hours).

LaTeX source of the formulas on this page

\[ v = \frac{d}{t} = \frac{410}{8} = 51.25\ \text{mph} \]
\[ v = \frac{d}{t} = \frac{410}{8} = \frac{205}{4} = 51.25 \]

What is the speed if a car travels 410 miles in 8 hours?

The average speed is 51.25 mph.

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

153.75 miles.