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A truck covers a certain distance in 12 ...

A truck covers a certain distance in 12 hours at the speed of 70km/hr . What is the average speed of a car which travels a distance of 120 km more than the truck in the same time ?

A

56km/hr.

B

75km/hr.

C

82 km/hr.

D

None of these

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The correct Answer is:
To solve the problem step by step, we can follow these calculations: ### Step 1: Calculate the distance covered by the truck. The truck travels at a speed of 70 km/hr for 12 hours. \[ \text{Distance} = \text{Speed} \times \text{Time} \] \[ \text{Distance} = 70 \, \text{km/hr} \times 12 \, \text{hours} = 840 \, \text{km} \] ### Step 2: Determine the distance covered by the car. The car travels 120 km more than the truck in the same time (12 hours). \[ \text{Distance covered by the car} = \text{Distance covered by the truck} + 120 \, \text{km} \] \[ \text{Distance covered by the car} = 840 \, \text{km} + 120 \, \text{km} = 960 \, \text{km} \] ### Step 3: Calculate the average speed of the car. The average speed is calculated using the formula: \[ \text{Average Speed} = \frac{\text{Distance}}{\text{Time}} \] \[ \text{Average Speed of the car} = \frac{960 \, \text{km}}{12 \, \text{hours}} = 80 \, \text{km/hr} \] ### Final Answer: The average speed of the car is **80 km/hr**. ---

To solve the problem step by step, we can follow these calculations: ### Step 1: Calculate the distance covered by the truck. The truck travels at a speed of 70 km/hr for 12 hours. \[ \text{Distance} = \text{Speed} \times \text{Time} \] ...
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