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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?

User Chicout
by
6.5k points

2 Answers

4 votes

Answer:


1(9)/(91)\ hours

Explanation:

we know that

30 and one-third miles is equal to


30(1)/(3)\ mi=(30*3+1)/(3)=(91)/(3)\ mi

one-third of an hour is equal to


(1)/(3)\ h

Applying proportion


((1/3))/((91/3))(h)/(mi)=(x)/(100)(h)/(mi)\\ \\x=(100)/(91)\ h

Convert to mixed number


(100)/(91)\ h=(91)/(91)+(9)/(91)=1(9)/(91)\ h

User Lesther
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7.1k points
4 votes

Answer:

The entire 100-mile trip will take 1 hour and 6 minutes to complete.

Explanation:

Doogle drove 30 1/3 miles or 30.33 miles toward his brother's house in one-third of an hour.

1/3 of an hour =
(1)/(3)*60=20 minutes.

Lets say the speed is constant.

So, 30.33 miles are covered in 20 minutes.

Then 100 miles will be covered in =
(20)/(30.33)*100

= 65.94 minutes or 1.099 hours.

That becomes almost 1 hour and 6 minutes. (
0.099*60=5.94 ≈6)

Therefore, the entire 100-mile trip will take 1 hour and 6 minutes to complete.

User Phil Price
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7.2k points