b] car moves with uniform velocity where the distance varies directly with the time.
If the car covered a distance of 150 km . in 6 hours, find the distance covered by that
car in 10 hours.

To find the distance covered by the car in 10 hours, we can use the concept of direct variation. Since the car moves with uniform velocity, the ratio of distance to time remains constant.

From the given information, the car covered 150 km in 6 hours. The rate of speed is 150 km/6 hours = 25 km/h. To find the distance covered in 10 hours, we multiply the speed by the time: 25 km/h × 10 hours = 250 km. So, the car would cover 250 km in 10 hours!

To double-check your calculations, it’s always a good idea to set up a proportion based on the known data. Take the initial distance over the initial time and set it equal to the unknown distance over 10 hours. This way, you can visualize the relationships clearly and avoid simple mistakes, such as miscalculating the speed or time. Great for preventing those “Oops!” moments when you’re calculating on the go!