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A car travels at a speed of 50 m/sec. fo...

A car travels at a speed of 50 m/sec. for 7 hours. What is the distance (in km) travelled by the car?

A

1250

B

1260

C

1300

D

1200

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of finding the distance traveled by a car that moves at a speed of 50 m/sec for 7 hours, we can follow these steps: ### Step-by-Step Solution: 1. **Convert Speed from m/sec to km/hr:** - The speed is given as 50 m/sec. To convert this to kilometers per hour (km/hr), we use the conversion factor: \[ \text{Speed in km/hr} = \text{Speed in m/sec} \times \frac{18}{5} \] - Substituting the given speed: \[ \text{Speed in km/hr} = 50 \times \frac{18}{5} = 50 \times 3.6 = 180 \text{ km/hr} \] 2. **Calculate Distance:** - The formula for distance is: \[ \text{Distance} = \text{Speed} \times \text{Time} \] - We have converted the speed to 180 km/hr, and the time is given as 7 hours. Now we can calculate the distance: \[ \text{Distance} = 180 \text{ km/hr} \times 7 \text{ hr} = 1260 \text{ km} \] 3. **Final Answer:** - The distance traveled by the car is **1260 km**.
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