Question

Average speed of a car is twice the average speed of a truck. The truck covers 648 kms. In 24 hours. How much distance will the car cover in 15 hours

Answer 1

Answer:

The car covers a distance of 810 kms.

Explanation:

Let's first gatter information from the question. We know that the average speed of the car is twice that of a truck, so we write

$v_{car} = 2 v_{truck} .$

Now we know that the truck covers a distance of 648 km in 24 hours. The distance traveled is equal to the product of speed and time,

$d = v t ,$

so we can write

$v_{truck} = \dfrac{d}{t} = \dfrac{ 648 km }{ 24 h } = 27 \, \text{km} / \text{h}  \, \, .$

Now we can obtain the speed of the car,

$v_{car} = 2 \times 27 \, \text{km} / \text{h} = 54 \, \text{km} / \text{h} \, \, .$

And the distance traveled by the car is given by its average speed multiplied by the time of travel,

$d_{car} = ( 54 \, \text{km} / \text{h} ) ( 15 \, \text{h} ) = 810 \, \text{km} \, \, .$