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A surveillance plane is moving between t...

A surveillance plane is moving between two fixed places Pukhwara and Kargil at 120 km/h. The distance between two places is 600 km. After 18 hour what will be the distance between the Kargil and its position if it is starts moving from Pukhwara?

A

360 km

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 will follow these calculations: ### Step 1: Determine the speed of the plane The speed of the surveillance plane is given as 120 km/h. ### Step 2: Calculate the distance covered in 18 hours To find the distance covered by the plane in 18 hours, we can use the formula: \[ \text{Distance} = \text{Speed} \times \text{Time} \] Substituting the values: \[ \text{Distance} = 120 \, \text{km/h} \times 18 \, \text{h} = 2160 \, \text{km} \] ### Step 3: Determine the total distance between Pukhwara and Kargil The total distance between Pukhwara and Kargil is given as 600 km. ### Step 4: Calculate the position of the plane after 18 hours Since the plane has traveled 2160 km, we need to find out how far it has gone beyond Kargil. To do this, we subtract the distance between Pukhwara and Kargil from the distance traveled: \[ \text{Distance beyond Kargil} = \text{Distance traveled} - \text{Distance between Pukhwara and Kargil} \] Substituting the values: \[ \text{Distance beyond Kargil} = 2160 \, \text{km} - 600 \, \text{km} = 1560 \, \text{km} \] ### Step 5: Conclusion After 18 hours, the plane will be 1560 km beyond Kargil. ### Summary of the Solution: - The plane travels 2160 km in 18 hours. - The distance between Pukhwara and Kargil is 600 km. - The plane is 1560 km beyond Kargil after 18 hours. ---
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