A person walked 1/3 a mile in 1/24 of a hour what was their speed?

Answer 1

This might seem offputting at first given the weird looking fractions, but if you set up a ratio, this is quote manageable!

Knowing that rate is distance over time (rate = distance/time), we can say that the speed is: (1/3 mi.)/(1/24 hr.)

Since we typically want to know speeds in miles per hour, it would be good to get rid of the fraction in the denominator. To do so, we multiply the numerator and denominator by 24/24 (essentially multiplying it by 1 as to not change the actual value of the fraction):

1/3 * 24 = 8. 1/24 * 24 =1: Thus, (1/3 mi.)/(1/24 hr.) = 8 mi./hr.= 8mph.

Answer 2

A person walked 1/3 a mile in 1/24 of a hour what was their speed?

Detailed Solution

Distance = Speed x Time d: Distance v: Speed t:Time

d = vt

(1/3 mile) = v(1/24 hour)

(1/3 mile)(24) = v(1/24 hour)(24) <== Multiply both sides by 24

(8 miles) = v(1 hour)

v(1 hour) = (8 miles)

v = (8 miles)/(1 hour)

v = Speed = 8 miles/hour = 8 mph