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 pls?

The Toyota goes 350km in 5 hours.

The Kia has gone the same distance in 7 hours.

So, the Kia's speed must be 50 km/hr

The formula used to solve this problem is the distance-rate-time formula:

Distance = Rate × Time

Let's assume that the rate at which the Kia car was traveling is "x" km/hour.

Now, let's break down the information given in the problem and solve step-by-step:

1. The Toyota car leaves the house 2 hours after the Kia car.
So, the Kia car has already been traveling for 2 hours when the Toyota car starts its journey.

2. The Toyota car overtakes the Kia car in 5 hours.
This means that the two cars have traveled the same distance when the Toyota car overtakes the Kia car.

3. Let's calculate the distance the Toyota car traveled:
Distance Toyota = Rate Toyota × Time Toyota
Distance Toyota = 70 km/hour × 5 hours
Distance Toyota = 350 km

4. Since the Kia car has been driving for an additional 2 hours, the total time it has been traveling when overtaken by the Toyota car is:
Time Kia = 5 hours + 2 hours
Time Kia = 7 hours

5. Now, let's calculate the distance the Kia car traveled:
Distance Kia = Rate Kia × Time Kia
Distance Kia = x km/hour × 7 hours
Distance Kia = 7x km

6. As mentioned earlier, the distance traveled by the Toyota car is equal to the distance traveled by the Kia car:
Distance Toyota = Distance Kia
350 km = 7x km
Dividing both sides by 7, we get:
350 km / 7 = x km
50 km/hour = x km/hour

Therefore, the rate at which the Kia car was traveling is 50 km/hour.

To find the rate at which the Kia car was traveling, you can use the formula: Rate = Distance/Time. Let's break down the problem and use the given information to find the answer:

Step 1: Understand the problem.
A Toyota car traveled at a rate of 70 km/hour and leaves the house 2 hours after the Kia car. The Toyota car overtakes the Kia car in 5 hours. We need to find the rate at which the Kia car was traveling.

Step 2: Identify the known values.
Given:
- Rate of the Toyota car = 70 km/hour.
- Time taken for the Toyota car to overtake the Kia car = 5 hours.

Step 3: Understand the relationship between the two cars.
Since the Toyota car overtakes the Kia car, it means that they cover the same distance in the 5 hours it took for the Toyota car to catch up. So, their distances traveled would be equal.

Step 4: Use the formula to solve the problem.
Let's assume the rate at which the Kia car was traveling as 'R' km/hour.
For the Toyota car: Distance = Rate × Time
For the Kia car: Distance = Rate × (Time + 2 hours)

Since both cars cover the same distance:
70 × 5 = R × (5 + 2)

Step 5: Solve for the unknown variable.
350 = R × 7

Divide both sides of the equation by 7:
350/7 = R

Thus, the rate at which the Kia car was traveling is R = 50 km/hour.

So, the Kia car was traveling at a rate of 50 km/hour.