a car travels 175km in
7/2 hours and how far will it travel in 3/2hours
33.33333 km in 3/2 hours
DHHDUD
To find out how far the car will travel in 3/2 hours, we can first calculate the car's average speed. Speed is measured in distance divided by time.
The car traveled 175 km in 7/2 hours. To find the average speed, we divide the distance by the time:
Average speed = Distance / Time
Average speed = 175 km / (7/2) hours
To divide by a fraction, we can multiply by its reciprocal:
Average speed = 175 km * (2/7 hours)
Notice that the hours' unit will cancel out:
Average speed = 175 km * 2/7
Performing the calculation:
Average speed = 350/7 km
Simplifying:
Average speed = 50 km/h
Now that we know the average speed of the car is 50 km/h, we can find out how far it will travel in 3/2 hours. Again, we'll use the formula:
Distance = Speed * Time
Distance = 50 km/h * (3/2) hours
To multiply fractions, we simply multiply the numerators together and the denominators together:
Distance = 50 km/h * 3/2
Performing the calculation:
Distance = 150/2 km
Simplifying:
Distance = 75 km
Therefore, the car will travel 75 km in 3/2 hours.
7/2 = 3.5
3/2 = 1.5
175/3.5 = x/1.5
Cross multiply and solve for x.