Question

A truck covers a distance of 510 km to 34 liters of diesel. How much distance would it cover in 20 liters of diesel?

Answer 1

Hint: We will use that if the distance increases the diesel also increases, therefore it is directly proportional and consider the distance covered as \[x\] km. Then we will simplify the equation, \[\dfrac{{510}}{{34}} = \dfrac{x}{{20}}\] to find the value of \[x\].

Complete step-by-step answer:
We are given that a truck covers a distance of 510 km to 34 liters of diesel.
We know that if the distance increases the diesel also increases, therefore it is directly proportional.
Let us now consider the distance covered as \[x\] km.
Then, we have
\[ \Rightarrow \dfrac{{510}}{{34}} = \dfrac{x}{{20}}\]
Cross-multiplying the above equation, we get
\[
   \Rightarrow 510 \times 20 = 34 \times x \\
   \Rightarrow 10200 = 34x \\
 \]
Dividing the above equation by 34 on both sides, we get
\[
   \Rightarrow \dfrac{{10200}}{{34}} = \dfrac{{34x}}{{34}} \\
   \Rightarrow 300 = x \\
   \Rightarrow x = 300{\text{ km}} \\
 \]
Hence, 300 km of distance can be covered with 20 liters of diesel.

Note: Relative velocity is obtained by adding up both the velocities when the cars are travelling in the same direction. Do not subtract the velocities from each other as subtraction is done when travelled in the same direction. Use the time-distance relationship accurately. There is no need to change the units as the units are in standard form already for all the data given.