Question: A Toyota car travelled at the rate of 70 km/hour leaves the house 2 hours after a Kia car has left and overtakes it in 5 hours. at what rate was Kia car travelling?

What's the formula?

distance = time * speed. So,

5*70 = (5+2)*x

To solve this problem, we need to use the formula:

Speed = Distance / Time

Let's break down the information given in the problem:
- The Toyota car is traveling at a speed of 70 km/hour.
- The Toyota car starts 2 hours after the Kia car.
- The Toyota car overtakes the Kia car in 5 hours.

To find the speed of the Kia car, we can use the formula and the concept of relative speed. Since both cars are traveling in the same direction and the Toyota car overtakes the Kia car, the relative speed between the two cars will be the difference in their speeds.

Relative Speed = Speed of Toyota car - Speed of Kia car

We know the relative speed is equal to the distance traveled by one car in the time it takes to overtake the other car.

Distance = Relative Speed * Time taken to overtake

In this case, the time taken to overtake is given as 5 hours.

So, Distance = Relative Speed * 5

Now, we know that Distance = Speed * Time

So, Distance traveled by the Toyota car would be 70 * (5 + 2) = 70 * 7 = 490 km (since it traveled for 5 hours after a 2-hour delay).

Now, using the formula, we have Distance = Relative Speed * Time, where Distance is 490 km, Time is 5 hours, and we want to find the Speed of the Kia car.

490 = Relative Speed * 5

Rearranging the equation gives us: Relative Speed = 490 / 5 = 98 km/hour

Finally, to find the speed of the Kia car, we subtract the relative speed from the speed of the Toyota car:

Speed of Kia car = Speed of Toyota car - Relative Speed = 70 - 98 = -28 km/hour

However, we can't have a negative speed, so it's likely there was a mistake in the problem statement or in the calculations. If the given information is correct, it's not possible for the Kia car to be traveling at a speed of -28 km/hour.