Mathematics

Grade6

Easy

Question

# A train travels with a constant speed of 54 miles per hour. Distance travelled by the train in 30 minutes would be ____________.

- 25
- 31
- 35
- 27

Hint:

### In this question, we are given the speed of the train. It is 54 miles per hour. We are also given the time for which the train travels. It is 30 minutes. Using this data, we are asked to find the distance travelled by train in the given time. We can try to find an equation using these quantity to get the value.

## The correct answer is: 27

### The given values of speed and time are as follows

Speed = 54 miles per hour

Time = 30 minutes

We have to find the distance travelled.

We know the formula for speed.

e will rearrange the above formula for distance, as we don’t have it’s value

We will multiply the L.H.S and R.H.S of the formula by time. .

Time × speed = Distance.

Rearranging we get.

Distance = Speed × Time

We will substitute the values of speed and time in above equation

Before that, we will have to make the units same. So we will find the speed in miles per minute. The sleep is in miles per hour. So to convert it into miles per minute we will have to convert the hour into minutes. 1 hour means 60 minutes. So we will divide the speed by 60 minutes to get the value.

We will substitute this value in the equation for distance

We get

Distance = Speed × Time.

= × 30

= 27 miles

Therefore, the distance travelled is 27 miles.

So the option which is '27’, is the right option.

We should be familiar with different units. To see if the ratio is right we can cross check the units of the quantities.