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A surveillance plane is moving between t...

A surveillance plane is moving between two fixed places pukhwara and kargil at 120km/h. The distance between two places is 600 km . After 10 hour what will be the distance between the kargil and its position If it is starts moving from pukhwara ?

A

360km

B

300 km

C

240 km

D

none of these

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we need to determine how far the surveillance plane travels in 10 hours and then calculate the distance from Kargil to the plane's position after that time. ### Step-by-Step Solution: 1. **Identify the Speed of the Plane**: The speed of the surveillance plane is given as 120 km/h. **Hint**: Remember that speed is the distance traveled per unit of time. 2. **Calculate the Distance Traveled in 10 Hours**: To find out how far the plane travels in 10 hours, we use the formula: \[ \text{Distance} = \text{Speed} \times \text{Time} \] Substituting the values: \[ \text{Distance} = 120 \text{ km/h} \times 10 \text{ h} = 1200 \text{ km} \] **Hint**: When multiplying speed by time, ensure both units are compatible (hours with km/h). 3. **Determine the Total Distance Between Pukwara and Kargil**: The distance between Pukwara and Kargil is given as 600 km. **Hint**: This is the fixed distance that the plane will travel back and forth. 4. **Calculate the Position of the Plane After 10 Hours**: Since the plane starts from Pukwara and travels towards Kargil, it will reach Kargil after 600 km. After reaching Kargil, it will continue to travel back towards Pukwara. After reaching Kargil (600 km), the plane has traveled: \[ 1200 \text{ km} - 600 \text{ km} = 600 \text{ km} \] This means the plane has traveled 600 km back towards Pukwara after reaching Kargil. **Hint**: Consider the total distance traveled and how it relates to the distance between the two points. 5. **Calculate the Distance from Kargil to the Plane's Position**: Since the plane has traveled 600 km back towards Pukwara after reaching Kargil, the distance from Kargil to the plane's current position is: \[ \text{Distance from Kargil} = 600 \text{ km} - 600 \text{ km} = 0 \text{ km} \] **Hint**: The plane returns to Pukwara after traveling the total distance of 1200 km. ### Final Answer: After 10 hours, the distance between Kargil and the plane's position is **0 km**, meaning the plane is at Pukwara.
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