Calculating Distance Covered by Car

This problem requires us to first find the speed of the truck using the given distance and time. Then, we use the truck's speed to find the car's speed, which is 7 kmph more. Finally, we calculate the distance the car covers in 11 hours using its speed.

Let's break it down step-by-step:

Step 1: Calculate the speed of the truck

The formula to calculate speed is:

\text{Speed} = \frac{\text{Distance}}{\text{Time}}

Given information for the truck:

• Distance covered by truck = 780 km
• Time taken by truck = 12 hours

Using the formula, the speed of the truck is:

\text{Truck Speed} = \frac{780 \text{ km}}{12 \text{ hours}}

Now, we calculate the value:

\frac{780}{12} = 65

So, the speed of the truck is 65 kmph.

Step 2: Calculate the speed of the car

The question states that the car travels at a speed which is seven kmph more than that of the truck.

\text{Car Speed} = \text{Truck Speed} + 7 \text{ kmph}

Substitute the truck's speed we just calculated:

\text{Car Speed} = 65 \text{ kmph} + 7 \text{ kmph}

\text{Car Speed} = 72 \text{ kmph}

The speed of the car is 72 kmph.

Step 3: Calculate the distance covered by the car

The formula to calculate distance is:

\text{Distance} = \text{Speed} \times \text{Time}

Given information for the car:

• Speed of car = 72 kmph (calculated in Step 2)
• Time taken by car = 11 hours

Using the formula, the distance covered by the car is:

\text{Car Distance} = 72 \text{ kmph} \times 11 \text{ hours}

Now, we calculate the value:

72 \times 11 = 792

So, the distance covered by the car in 11 hours is 792 km.

Summary

Here is a summary of the values calculated:

The distance covered by the car in 11 hours is 792 km.