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

Thomas travels 64 miles each hour.

Explanation:

Distance traveled by train = 328 miles

Time taken to travel by train =
`5(1)/(8) hr \Rightarrow (5 * 8+1)/(8) \Rightarrow (41)/(8) hr`

We know that speed can be formulate as:

`\text{Speed = } \frac{\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 = } (328)/((41)/(8))\\\Rightarrow 8 * 8\\\Rightarrow 64\ miles/hour`

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