Question

Rex walks 3 1/7 km in 1 1/4 hours. At the same speed , how long will he go in one hour? Simplify your answer and write it as a proper fraction or as a whole or mixed number. Show your work.

Answer 1

She walks 22/7 km in 5/4 hrs, so she walks (22/7)/(5/4) km, or 88/35 (2_18/35) km, in 1 hr.

Answer 2

The distance Rex will cover at the same speed in one hour is $2\frac{18}{35}km$

From the question,

Rex walks 3 1/7 km in 1 1/4 hours.

To determine how long he will go in one hour at the same speed,

First, we will determine the speed at which he walked.

Using the formula

$Speed= \frac{Distance}{Time }$

The distance he walked = 3 1/7 km = $3\frac{1}{7} km$ = $\frac{22}{7} km$

Time = 1 1/4 hours = $1 \frac{1}{4} hours$ = $\frac{5}{4}hours$

∴ $Speed = \frac{22}{7} \div \frac{5}{4}$

$Speed = \frac{22}{7} \times \frac{4}{5}$

$Speed = \frac{88}{35} km/hr$

∴ $Speed = 2\frac{18}{35} km/hr$

Now, to determine how long he will go in one hour at the same speed

From

$Speed= \frac{Distance}{Time }$

Then,

$Distance = Speed \times Time$

$Speed = 2\frac{18}{35} km/hr$

$Time = 1 hour$

∴ $Distance = 2\frac{18}{35}km/hr \times 1hr$

$Distance = 2\frac{18}{35}km$

Hence, the distance he will cover at the same speed in one hour is $2\frac{18}{35}km$

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