Question

Harvey the wonder hamster can run 3\dfrac16 \text{ km}3 6 1 ​ km3, start fraction, 1, divided by, 6, end fraction, start text, space, k, m, end text in \dfrac14 4 1 ​ start fraction, 1, divided by, 4, end fraction hour. Harvey runs at a constant rate. Find his average speed in kilometers per hour.

Answer 1

Answer:

$Speed = \frac{38}{3}km/hr$

Step-by-step explanation:

Given

$Distance = 3\frac{1}{6}km$

$Time = \frac{1}{4}hr$

Required

Determine the average speed

Average speed is calculated as thus;

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

$Speed = 3\frac{1}{6}/\frac{1}{4}$

$Speed = 3\frac{1}{6} * \frac{4}{1}$

Convert Mixed Fraction to Improper fraction

$Speed = \frac{19}{6} * \frac{4}{1}$

$Speed = \frac{19 * 4}{6 * 1}$

$Speed = \frac{76}{6}$

Divide both sides of the fraction by 2

$Speed = \frac{38}{3}$

Hence:

The speed is:

$Speed = \frac{38}{3}km/hr$