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

There is an error or inconsistency in the given information.

Step-by-step explanation:

Let's assume Sofia's speed of walking is x km/h. So, her speed of driving is 15 times that, which is 15x km/h.

Given that Sofia drove 45 km, we can use the formula distance = speed x time to find the time taken for driving:

45 km = (15x km/h) x time

Dividing both sides by 15x, we get:

3 km/h = time

Now, we know that Sofia drove for a total of 1.5 hours. We can set up the equation:

1.5 hours = time taken for driving + time taken for walking

Substituting the value obtained for time taken for driving, we get:

1.5 hours = 3 km/h + time taken for waling

Simplifying, we find the time taken for walking:

1.5 hours - 3 km/h = time taken for walking

Therefore, Sofia's time taken for walking is -1.5 hours, which doesn't make sense. This means there is an error or inconsistency in the given information.

Answer 2

Sofia's driving speed is 50 km/h, calculated by establishing the relationship between her driving and walking speeds and the distances traveled.

Step-by-step explanation:

To find Sofia's driving speed, we need to establish the relationship between the driving and walking times based on the distances traveled and the speeds involved. Let the walking speed be v and the driving speed be 15v (since it's 15 times her walking speed). Sofia drove 45 km and walked 2 km, with the total time being 1.5 hours (which is 90 minutes).

The time to drive is the distance (45 km) divided by the driving speed (15v), and the time to walk is the distance (2 km) divided by the walking speed (v). Combining these and setting them equal to 1.5 hours, we get the following equation:

TimeDriving + TimeWalking = TotalTime

(45 km / 15v) + (2 km / v) = 1.5 hours

To solve for v, we combine the fractions over a common denominator and solve the resulting equation:

(3 km / v) + (2 km / v) = 1.5 hours

(5 km / v) = 1.5 hours

v = 5 km / 1.5 hours

v = 3.333 km/h (walking speed)

Therefore, Sofia's driving speed is 15 times her walking speed:

DrivingSpeed = 15 × 3.333 km/h

DrivingSpeed = 50 km/h