Question

On his way back, Thomas took the train. The distance travelled by the train is 328 miles. If it takes 5 1/8 hours to travel by train, how far does he travel each hour?

Thank You

Answer 1

Answer:

Thomas travels 64 miles each hour.

Step-by-step explanation:

Distance traveled by train = 328 miles

Time taken to travel by train = $5\frac{1}{8} hr \Rightarrow \frac{5 \times 8+1}{8} \Rightarrow \frac{41}{8} hr$

We know that speed can be formulate as:

$\text{Speed = } \dfrac{\text{Distance Travelled}}{\text{Time Taken}}$

Speed is equal the total distance traveled for the one unit time.

In our case, speed is total distance traveled in miles in 1 hour.

So, using above formula:

$\text{Speed = } \dfrac{328}{\dfrac{41}{8}}\\\Rightarrow 8 \times 8\\\Rightarrow 64\ miles/hour$

As per definition of Speed, Thomas travels 64 miles each hour.