The distance to your sisters house is 370 miles, and the distance to Denver is 703 miles. If it took 10 hours to drive to your sisters, how long would you estimate the drive to Denver to take?

Answer 1

d = rt (distance equals rate * time)

We know d, we know t to your sister's place, so we need to find the rate:

d / t = r

^{370 mi}/_{10 hr} = r

^{37 mi}/_hr = r

So you're driving at about 37 mph

Now to Denver:

703 mi = ^{37 mi}/_hr * t

Divide by 37 mph:

703 mi / ^{37 mi}/_hr = t

miles cancel, and hour being in the denominator of a divisor flips to the other side into the quotient:

703 hr / 37 = t

19 hours = t