Question

Bob drove 30 and one third miles towards his house in one third an hour. About how long will the entire 100 mile trip take at this speed?

Answer 1

It would take $1\frac{9}{91}$ hour to complete the entire trip.

Step-by-step explanation:

Given,

Distance covered = $30\frac{1}{3}$ = $\frac{91}{3}$ miles

Time taken =$\frac{1}{3}$ hour

We know that;

Distance = Speed * Time

$\frac{91}{3} = Speed*\frac{1}{3}$

Multiplying both sides by 3

$3*\frac{91}{3} = Speed*\frac{1}{3}*3$

91 = Speed

Bob was driving at 91 miles per hour.

Now,

Distance to cover = 100 miles

Time required = x

Distance = Speed * Time

$100=91x\\91x=100$

Dividing both sides by 91

$\frac{91x}{91}=\frac{100}{91}\\x=1\frac{9}{91}$

It would take $1\frac{9}{91}$ hour to complete the entire trip.

Keywords: fraction, distance

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