Question

A loaded truck travels 14km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours?

Answer 1

Hint: In this question, we are given distance travelled by truck in 25 minutes and we have to calculate the distance it will travel in 5 hours. As we know, more the distance a truck covers, more time will be occupied, hence the given problem is a problem of direct proportion. So, we will use a formula of direct proportion to evaluate our required answer.

Complete step-by-step answer:
We are given that a loaded truck travels 14km in 25 minutes and we have to find the distance travelled by the truck in 5 hours.
For this, let us first change hours to minutes.
As we know, 1 hour = 60 minutes. Therefore,
$5\text{ hours}=5\times 60=300\text{ minutes}$.
Hence our problem becomes, a loaded truck travels 14km in 25 minutes and we have to find how much distance it will cover in 300 minutes.
As we know, more the distance is covered by the truck, more is the time taken by the truck. Hence, the problem is of direct proportion.
Let us suppose the truck travels x km in 300 minutes. So, our table looks like

Distance travelled	14	X
Time taken	25	300

Now, distance and time are in direct proportion, therefore
\[\dfrac{14}{25}=\dfrac{x}{300}\]
Cross multiplying we get:
\[\begin{align}
  & 14\times 300=25x \\
 & 25x=14\times 300 \\
\end{align}\]
Dividing both sides by 25 we get:
\[\begin{align}
  & x=\dfrac{14\times 300}{25} \\
 & x=168 \\
\end{align}\]
Therefore, truck travels 168km in 300 minutes or we can say,
Truck travels 168 km in 5 hours.

Note: Students should note that the units of both distances should be the same and units of both times should be same. For solving these problems, they should analyze the problem carefully to check if it is a problem of direct proportion or inverse proportion. Students should always try to make a table to avoid confusion while calculating. Students can also use a unitary method for solving this sum. For this, first find time taken by truck to cover 1km and then multiply it by 168 to get the required answer.