A car is traveling at 120 km/h. How far does it travel in 6 1/3 hours?

Distance = rate x time

= (120)(19/3) = ......

To find the distance traveled by the car, we use the formula:

Distance = Speed × Time

Given:
Speed of the car = 120 km/h
Time traveled = 6 1/3 hours

First, we need to convert the mixed fraction into an improper fraction:
6 1/3 = (6 × 3 + 1) / 3 = (18 + 1) / 3 = 19 / 3

Now, we can substitute the values into the formula:

Distance = Speed × Time
Distance = 120 km/h × (19 / 3) hours

To simplify, we can multiply the numerators and denominators:

Distance = (120 × 19) km / (3 × 1) hours
Distance = 2280 km / 3 hours

To further simplify, we can divide the numerator by the denominator:

Distance = 760 km

Therefore, the car travels a distance of 760 km in 6 1/3 hours.

To find the distance traveled, we can use the formula Distance = Speed × Time. In this case, the car is traveling at a speed of 120 km/h and the time is 6 1/3 hours.

To calculate the distance traveled, you can multiply the speed (120 km/h) by the time (6 1/3 hours). Here's how you can do it step by step:

Step 1: Convert the mixed fraction into an improper fraction. 6 1/3 can be written as (6 × 3 + 1) / 3 = 19 / 3.

Step 2: Multiply the speed (120 km/h) by the time (19 / 3 hours):

Distance = Speed × Time
= 120 km/h × (19 / 3) hours.

Step 3: Simplify the expression by canceling out common factors:

Distance = 120 × 19 km / (3 × 1) hour

Step 4: Calculate the multiplication and division:

Distance = 2280 km / 3 hour.

Step 5: Simplify the fraction:

Distance = 760 km.

Therefore, the car will travel a distance of 760 km in 6 1/3 hours.