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)

Options

A. 5010 km
B. 4875 km
C. 5760 km
D. 5103 km

Explanation

To solve the problem step by step, we will first calculate the distance covered by the aeroplane, then determine the speed of the helicopter, and finally calculate the distance the helicopter can cover in 18 hours.

### Step 1: Calculate the distance covered by the aeroplane in 9 hours.
The speed of the aeroplane is given as 756 km/h.

Distance = Speed × Time
Distance covered by the aeroplane in 9 hours = 756 km/h × 9 h = 6804 km.

### Step 2: Calculate the distance covered by the helicopter.
The helicopter covers twice the distance of the aeroplane in 9 hours.
So, Distance covered by the helicopter = 2 × Distance covered by the aeroplane in 9 hours = 2 × 6804 km = 13608 km.

### Step 3: Calculate the speed of the helicopter.
The helicopter takes 48 hours to cover the distance calculated in Step 2.
Speed of the helicopter = Distance / Time
Speed of the helicopter = 13608 km / 48 h = 283.5 km/h.

### Step 4: Calculate the distance the helicopter will cover in 18 hours.
Using the speed calculated in Step 3, we can find the distance covered by the helicopter in 18 hours.
Distance = Speed × Time
Distance covered by the helicopter in 18 hours = 283.5 km/h × 18 h = 5103 km.

### Final Answer:
The helicopter will cover **5103 km** in 18 hours.

---