Question

# The winner of a 250 mile race drove his car to victory at a rate of 137.1656 mph. What was his time (to the nearest thousandth of an hour)?

Upper level algebra
The winner of a 250 mile race drove his car to victory at a rate of 137.1656 mph. What was his time (to the nearest thousandth of an hour)?

2021-03-03

The distance travelled d is the rate rr multiplied by time t:
$$\displaystyle{d}={r}{t}$$
Substitute $$\displaystyle{d}={250}{m}{i}\le{s}{\quad\text{and}\quad}{r}={137.1656}\mp{h}$$ (miles per hour):
$$\displaystyle{250}={137.1656}{t}$$
$$\displaystyle{\frac{{{250}}}{{{137.1656}}}}={t}$$
$$\displaystyle{t}≈{1.823}{h}{o}{u}{r}{s}$$