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A car moves at a uniform speed of 75 km...

A car moves at a uniform speed of `75 km` per hour. How much distance will it cover in `98` hours?

A

`7351 km `

B

`7350 km `

C

`7354 km `

D

`7360 km `

Text Solution

AI Generated Solution

The correct Answer is:
To find the distance covered by a car moving at a uniform speed, we can use the formula: \[ \text{Distance} = \text{Speed} \times \text{Time} \] ### Step-by-Step Solution: 1. **Identify the speed of the car**: The speed of the car is given as \(75\) kilometers per hour. 2. **Identify the time duration**: The time duration for which the car is moving is \(98\) hours. 3. **Use the formula for distance**: We will substitute the values into the formula: \[ \text{Distance} = 75 \, \text{km/h} \times 98 \, \text{h} \] 4. **Perform the multiplication**: \[ 75 \times 98 \] To calculate \(75 \times 98\), we can break it down: \[ 75 \times 98 = 75 \times (100 - 2) = 75 \times 100 - 75 \times 2 \] \[ = 7500 - 150 = 7350 \] 5. **Conclusion**: The total distance covered by the car in \(98\) hours is \(7350\) kilometers. ### Final Answer: The car will cover a distance of **7350 kilometers** in 98 hours.
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