Question

Bryce, a previous winner of the contest, made a trip of 360 miles in a 6.5 hours. At this same average rate of speed, how long will it take Bryce to travel an additional 300 miles so that he can judge the contest?

Answer 1

Answer:

5.42 hours

Step-by-step explanation:

Let x represent time taken to complete 300 miles.

We have been given that Bryce a previous winner of the contest, made a trip of 360 miles in a 6.5 hours.

We will use proportions to solve our given problem since rates are same for both distances.

$\frac{\text{Distance covered}}{\text{Time taken}}=\frac{360\text{ Miles}}{6.5\text{ Hours}}$

Upon substituting our given values in above proportion, we will get:

$\frac{300\text{ Miles}}{x}=\frac{360\text{ Miles}}{6.5\text{ Hours}}$

Cross multiply:

$x\cdot 360\text{ Miles}=300\text{ Miles}\times6.5\text{ Hours}}$

$x=\frac{300\text{ Miles}\times6.5\text{ Hours}}{ 360\text{ Miles}}$

$x=\frac{300\times6.5\text{ Hours}}{360}$

$x=5.41666\text{ Hours}\approx 5.42\text{ Hours}$

Therefore, it will take approximately 5.42 hours to travel additional 300 miles.