2.4 A luge truak uses 16,5 litres of diesel per 100 kilometres. Calculate how much diesel the track will need to travel 1284 km .

Question

UpStudy AI · Accepted Answer

To calculate how much diesel the luge track will need to travel 1284 km, we can use the given information that the luge track uses 16.5 litres of diesel per 100 kilometres.

Let's denote the amount of diesel needed to travel 1284 km as $$ x $$ litres.

Given:
- Diesel used per 100 km = 16.5 litres
- Total distance to be traveled = 1284 km

We can set up a proportion to find the amount of diesel needed for 1284 km:

$$
\frac{16.5 \text{ litres}}{100 \text{ km}} = \frac{x \text{ litres}}{1284 \text{ km}}
$$

Now, we can solve for $$ x $$ to find the amount of diesel needed to travel 1284 km.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$\frac{16.5}{100}=\frac{x}{1284}$$
- step1: Divide the terms:
  $$\frac{33}{200}=\frac{x}{1284}$$
- step2: Swap the sides:
  $$\frac{x}{1284}=\frac{33}{200}$$
- step3: Multiply both sides of the equation by $$1284:$$
  $$\frac{x}{1284}\times 1284=\frac{33}{200}\times 1284$$
- step4: Multiply the terms:
  $$x=\frac{33\times 1284}{200}$$
- step5: Divide the terms:
  $$x=\frac{10593}{50}$$
The luge track will need approximately 211.86 litres of diesel to travel 1284 km.
The luge track will need approximately 211.86 litres of diesel to travel 1284 km.

2.4 A luge truak uses 16,5 litres of diesel per 100 kilometres. Calculate how much diesel the track will need to travel 1284 km .

Upstudy AI Solution

Answer

Solution

Extra Insights

Related Questions

Latest Arithmetic Questions