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In the following questions, each questio...

In the following questions, each question has four options (A), (B), (C) and (D). Choose the correct option and indicate your correct response.
A boat is flowing in still water at the speed of 18 km/hour. The speed of boat in mis is:

A

50 m/s

B

72 m/s

C

7.2 m/s

D

5 m/s

Text Solution

AI Generated Solution

The correct Answer is:
To convert the speed of the boat from kilometers per hour (km/h) to meters per second (m/s), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the given speed**: The speed of the boat is given as 18 km/h. 2. **Understand the conversion factors**: - 1 kilometer (km) = 1000 meters (m) - 1 hour (h) = 3600 seconds (s) (since 1 hour = 60 minutes and 1 minute = 60 seconds, thus 60 x 60 = 3600 seconds) 3. **Set up the conversion**: To convert km/h to m/s, we can use the following formula: \[ \text{Speed in m/s} = \text{Speed in km/h} \times \frac{1000 \text{ m}}{1 \text{ km}} \times \frac{1 \text{ h}}{3600 \text{ s}} \] 4. **Substitute the values**: \[ \text{Speed in m/s} = 18 \text{ km/h} \times \frac{1000}{3600} \] 5. **Calculate the conversion**: \[ \text{Speed in m/s} = 18 \times \frac{1000}{3600} = 18 \times \frac{1}{3.6} \] \[ \text{Speed in m/s} = \frac{18000}{3600} = 5 \text{ m/s} \] 6. **Final answer**: The speed of the boat in meters per second is **5 m/s**.
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