Question

The trip from Carville to Nikpath requires $4\frac 12$ hours when traveling at an average speed of 70 miles per hour. How many hours does the trip require when traveling at an average speed of 60 miles per hour? Express your answer as a decimal to the nearest hundredth.

Answer 1

Remembering the formula $d = rt$, we know that the trip from Carville to Nikpath is $70 \times 4\frac{1}{2} = 315$ miles. $\frac{315}{60} = \boxed{5.25}$.

Answer 2

The formula required to solve the problem is:

• Average Speed = $\frac{Total \: Distance}{Total \: Time \: Taken}$

Given:

The time required to complete the trip from Carville to Nikpath = $4\frac{1}{2}$  hours = $\frac{9}{2}$ hours

Average Speed of travelling the distance from Carville to Nikpath = 70 miles per hour

To find:

The time required to travel the trip at an average speed of 60 miles per hour

Solution:

Let “D” miles be the total distance of the trip from Carville to Nikpath.

According to the question and using the formula, we get

70 = $\frac{D}{\frac{9}{2}}$

⇒ D = 70 * $\frac{9}{2}$

⇒ D = 35 * 9

⇒ D = 315 miles

So, to find the time required to travel the trip of 315 miles at an average speed of 60 miles per hour, we will use the formula of average speed here.

Therefore,

Average Speed = $\frac{Total \: Distance}{Total \: Time \: Taken}$

⇒ 60 = $\frac{315}{Total \: Time \: Taken}$

⇒ Total Time taken = $\frac{315}{60}$

⇒ Total Time taken = 5.25 hours  

The answer of 5.25 hours that the trip requires when travelling at an average speed of 60 miles per hour, is to be expressed as a decimal to the nearest hundredth which will be 5.25 hours.

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