A car travels from Kathmandu to Hetauda. The distance covered by it in [tex][tex]$4 \, \text{hrs}$[/tex][/tex] is [tex][tex]$200 \, \text{km}$[/tex][/tex]. Find the average speed of the car.

[Ans: [tex][tex]$50 \, \text{km/hr}$[/tex][/tex]]



Answer :

Sure, let’s solve this problem step-by-step:

1. Identify the given values:
- Distance traveled by the car: [tex]\( 200 \)[/tex] kilometers
- Time taken to travel this distance: [tex]\( 4 \)[/tex] hours

2. Understand the formula for average speed:
The average speed is calculated by dividing the total distance traveled by the total time taken. Mathematically, it is expressed as:
[tex]\[ \text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} \][/tex]

3. Substitute the given values into the formula:
Using the values from step 1:
[tex]\[ \text{Average Speed} = \frac{200 \text{ km}}{4 \text{ hrs}} \][/tex]

4. Perform the calculation:
[tex]\[ \text{Average Speed} = \frac{200 \div 4}{1 \text{ hr}} = 50 \text{ km/hr} \][/tex]

Therefore, the average speed of the car traveling from Kathmandu to Hetauda is [tex]\( 50 \text{ km/hr} \)[/tex].

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