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There is some problem in the speedometer...

There is some problem in the speedometer of Raju's car. It always indicates a value twice the actual value. One day, he drives the car to a mechanic shop for repair. The shop is 100 km from his house. It takes 5 h to reach the destination with a constant speed. What will be the reading of the speedometer?

A

20km/h

B

40km/h

C

250km/h

D

500km/h

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to find the reading of Raju's car speedometer, which indicates a value twice the actual speed. Here’s how we can approach the solution step by step: ### Step-by-Step Solution: 1. **Identify the Given Information:** - Distance to the mechanic shop = 100 km - Time taken to reach the shop = 5 hours 2. **Calculate the Actual Speed:** - We can use the formula for speed: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \] - Plugging in the values: \[ \text{Actual Speed} = \frac{100 \text{ km}}{5 \text{ h}} = 20 \text{ km/h} \] 3. **Determine the Speedometer Reading:** - Since the speedometer indicates a value that is twice the actual speed, we calculate: \[ \text{Speedometer Reading} = 2 \times \text{Actual Speed} \] - Substituting the actual speed: \[ \text{Speedometer Reading} = 2 \times 20 \text{ km/h} = 40 \text{ km/h} \] 4. **Final Answer:** - The reading of the speedometer when Raju reaches the mechanic shop is **40 km/h**.
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