Question

A car is traveling at a speed of 108 km per hour what is the car speed in meters per second how many meters with the car travel in 10 seconds. do not round your answer

Answer 1

There is a method of doing this called unit analysis. It automatically sets up the question in such away that you multiply all the numerators together and divide by all the denominators multiplied together. It is very handy to know.

Notice how the cancellation takes place as you progress from left to right. You are given seconds to start with and that cancels at the end, so that you are only left with meters.

$\dfrac{10 s}{1} * \dfrac{108 km}{1 hour} * \dfrac{1000 m }{1 km}*\dfrac{1 hour}{3600 s}$

$\text{numerator = 10 * 108 * 1000 = 1080000}\\ \\ \text{denominator = 1 * 1 * 1 *3600}$

The distance traveled in 10 seconds = 1080000 / 3600 = 300 meters.

Answer: 300 meters

You could also do this question by proportions, which you will no doubt get as your second answer.