Question

Sofia drove her car 45KM and she ran out of gas and had to walk 2KM to a gas station. Her sped of driving is 15 times her sped of walking. if the total time for the drive and walk was 1.5hr . what was sofia driving speed.

Answer 1

Sofia's walking speed is 1.33 km/h and her driving speed is 19.95 km/h.

Step-by-step explanation:

Let's assume Sofia's speed of walking is x km/h. According to the information given, her driving speed is 15 times her walking speed, so her driving speed would be 15x km/h.

The total time for the drive and walk was 1.5 hours. So, we can set up an equation:

1. The distance covered by driving is 45 km, which can be expressed as 45 / (15x)
2. The distance covered by walking is 2 km, which can be expressed as 2 / x

The sum of the time taken to drive and walk is equal to 1.5 hours, so we have the equation:

45 / (15x) + 2 / x = 1.5

To solve this equation, we need to find a common denominator:

(45x + 30) / (15x) = 1.5

Multiply both sides of the equation by 15 to eliminate the denominator:

45x + 30 = 22.5x

Subtract 22.5x from both sides:

45x - 22.5x = 30

Combine like terms:

22.5x = 30

Divide both sides by 22.5:

x = 1.33

Therefore, Sofia's walking speed is 1.33 km/h and her driving speed is 15 times that, which is 19.95 km/h.