Car P covers a certain distance in 11 hours at a speed of 66 kmph. Car Q covers 242 km more than car P in the same time. Find the average spped of Car Q.

Options

A. 718 kmph
B. 77 kmph
C. 88 kmph
D. 83 kmph

Answer

To solve the problem step by step, let's break it down:

**Step 1: Calculate the distance covered by Car P.**
- Car P travels at a speed of 66 km/h for 11 hours.
- The formula to calculate distance is:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
- Therefore, the distance covered by Car P is:
\[ \text{Distance of Car P} = 66 \, \text{km/h} \times 11 \, \text{hours} = 726 \, \text{km} \]

**Step 2: Calculate the distance covered by Car Q.**
- Car Q covers 242 km more than Car P.
- Thus, the distance covered by Car Q is:
\[ \text{Distance of Car Q} = 726 \, \text{km} + 242 \, \text{km} = 968 \, \text{km} \]

**Step 3: Calculate the average speed of Car Q.**
- Car Q also takes the same time (11 hours) to cover its distance.
- Using the speed formula:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
- The average speed of Car Q is:
\[ \text{Speed of Car Q} = \frac{968 \, \text{km}}{11 \, \text{hours}} = 88 \, \text{km/h} \]

**Final Answer:**
The average speed of Car Q is **88 km/h**.

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