Doogle drove 30 and one-third miles toward his brother's house in one-third of an hour. About how long will the entire 100-mile trip take at this constant speed?
Mathematics · Middle School · Thu Jan 21 2021
Answered on
Given the statement:
Doogle drove 30 and one-third miles toward his brother's house in one-third of an hour.
Determine about how long will the entire 100 mile trip take at this constant speed.
Solution:
In order to find how long will the trip take, we simply must find for the unit rate or the velocity of Doogle.
30 ⅓ miles
= 30.33333 miles
Divide the distance ⅓ hr
= 30.3333… mi/ ⅓ hr
In dividing a number with a fraction we simply take the reciprocal of the fraction, and then multiply it with the numerator. In our case, we have 3 as the reciprocal of ⅓ hence we multiply 3 with 30.3333…
= (30.3333)(3/1 hr)
= 90.999… miles/hr
In order to determine the time that it takes to complete the entire trip, we simply need to divide the distance with the velocity.
t = d/v
t = 100 miles/ 90.999… miles/hr
The unit miles cancel leaving behind hr.
t = 1.1 hr
Final answer:
It would take Doogle to1.1hr to complete the trip.