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A bus travels 720 km in 10 hours. Calcul...

A bus travels 720 km in 10 hours. Calculate its average speed in meters/second.

A

12

B

15

C

18

D

20

Text Solution

AI Generated Solution

The correct Answer is:
To find the average speed of the bus in meters per second, we will follow these steps: ### Step 1: Identify the given values - Total distance traveled by the bus = 720 km - Total time taken = 10 hours ### Step 2: Convert distance from kilometers to meters To convert kilometers to meters, we use the conversion factor: 1 km = 1000 meters So, we convert 720 km to meters: \[ \text{Distance in meters} = 720 \, \text{km} \times 1000 \, \text{m/km} = 720000 \, \text{m} \] ### Step 3: Convert time from hours to seconds To convert hours to seconds, we use the conversion factors: 1 hour = 60 minutes 1 minute = 60 seconds Thus, 1 hour = 60 minutes × 60 seconds/minute = 3600 seconds. Now, we convert 10 hours to seconds: \[ \text{Time in seconds} = 10 \, \text{hours} \times 3600 \, \text{s/hour} = 36000 \, \text{s} \] ### Step 4: Calculate average speed Average speed is calculated using the formula: \[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} \] Substituting the values we found: \[ \text{Average Speed} = \frac{720000 \, \text{m}}{36000 \, \text{s}} \] ### Step 5: Simplify the calculation Now, we simplify the fraction: \[ \text{Average Speed} = \frac{720000}{36000} = 20 \, \text{m/s} \] ### Final Answer The average speed of the bus is **20 meters per second**. ---
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