Question

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?

Answer 1

Answer:

$1\frac{9}{91}\ hours$

Step-by-step explanation:

we know that

30 and one-third miles is equal to

$30\frac{1}{3}\ mi=\frac{30*3+1}{3}=\frac{91}{3}\ mi$

one-third of an hour is equal to

$\frac{1}{3}\ h$

Applying proportion

$\frac{(1/3)}{(91/3)}\frac{h}{mi}=\frac{x}{100}\frac{h}{mi}\\ \\x=\frac{100}{91}\ h$

Convert to mixed number

$\frac{100}{91}\ h=\frac{91}{91}+\frac{9}{91}=1\frac{9}{91}\ h$

Answer 2

Answer:

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

Step-by-step 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 = $\frac{1}{3}\times60=20$ minutes.

Lets say the speed is constant.

So, 30.33 miles are covered in 20 minutes.

Then 100 miles will be covered in = $\frac{20}{30.33}\times100$

= 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.