Question:
An aeroplane flies with an average speed of 756 km/h. A helicopter takes 48 h to cover twice the distance covered by aeroplane in 9 h. How much distance will the helicopter cover in 18 h? (Assuming that flights are non-stop and moving with uniform speed.)
An aeroplane flies with an average speed of 756 km/h. A helicopter takes 48 h to cover twice the distance covered by aeroplane in 9 h. How much distance will the helicopter cover in 18 h? (Assuming that flights are non-stop and moving with uniform speed.)
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Find the helicopter's total distance in 48 hours, then scale it down proportionally to 18 hours.
Updated On: Jul 16, 2026
- 5010km
- 4875km
- 5760km
- 5103km
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Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: Find the distance covered by the aeroplane in 9 hours.
The aeroplane's speed is 756 km/h, so in 9 hours it covers \(756 \times 9 = 6804\) km.
Step 2: Use this to find the helicopter's speed.
The helicopter takes 48 hours to cover twice this distance, that is \(2 \times 6804 = 13608\) km. So the helicopter's speed is \(\frac{13608}{48} = 283.5\) km/h.
Final Answer:
Distance covered by the helicopter in 18 hours \(=283.5 \times 18 = 5103\) km, matching option D. \[ \boxed{5103 \text{ km}} \]
The aeroplane's speed is 756 km/h, so in 9 hours it covers \(756 \times 9 = 6804\) km.
Step 2: Use this to find the helicopter's speed.
The helicopter takes 48 hours to cover twice this distance, that is \(2 \times 6804 = 13608\) km. So the helicopter's speed is \(\frac{13608}{48} = 283.5\) km/h.
Final Answer:
Distance covered by the helicopter in 18 hours \(=283.5 \times 18 = 5103\) km, matching option D. \[ \boxed{5103 \text{ km}} \]
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