Question

ms.hughes was driving home from work when hit traffic. it took her 4/5 of an hour to travel 2 miles what was ms hughes speed during that time khloe says she can determine ms hugest speed by evaluating 2 x 5/4 even though the expression that matches the story is 2 / 4/5

Answer 1

5/2 or 2.5 miles per hour

Explanation:

Khloe's approach to determining Ms. Hughes' speed is not correct. Let's break down the information given in the story to find the correct speed.

We are given:

Time taken to travel: 4/5 of an hour

Distance traveled: 2 miles

To find speed, we can use the formula:

Speed = Distance / Time

Substitute the given values into the formula:

Speed = 2 miles / (4/5) hour

To divide by a fraction, we invert and multiply:

Speed = 2 miles * (5/4) hour

Now, multiply the numerators and denominators:

Speed = (2 * 5) / 4 miles per hour

Speed = 10 / 4 miles per hour

Simplify the fraction (divide numerator and denominator by their greatest common divisor, which is 2):

Speed = 5/2 miles per hour or 2.5 miles per hour

So, Ms. Hughes' speed during that time was 5/2 miles per hour, which is equivalent to 2.5 miles per hour. Khloe's approach using the expression 2 x 5/4 does not correctly represent the situation, as it does not account for the division of distance by time in the speed formula. The correct expression that matches the story is 2 / (4/5).

Answer 2

0.4miles/hour

Explanation:

4/5 of an hour= 4/5 x 60

=48mins

converting mins into hrs

48/60 = 0.8

speed=distance traveled/time

speed= 2miles/0.8hrs

speed=0.4miles/hr