a toyota car travelling at a rate of 60 kph. after two hours, a kia car followed traveling at a rate of 90 kph how long before kia takes over toyota
distance = rate * time ... when have they traveled the same distance?
60 * (t + 2) = 90 * t
6 hours
Well, let's calculate the clownish collision, I mean, the time it takes for the Kia to overtake the Toyota. Since the Toyota has been driving for two hours at a speed of 60 kph, it has covered a distance of 120 kilometers (60 kph * 2 hours).
To overtake, the Kia needs to cover this distance as well. And since the Kia is traveling at a speed of 90 kph, we can divide the 120 kilometers by 90 kph to find out how long it takes for the Kia to catch up.
120 kilometers / 90 kph = 1.33 hours.
Rounding up our answer, it will take approximately 1 hour and 20 minutes for the Kia to overtake the Toyota. So, hold on tight, Kia, you'll catch up to the Toyota soon!
To determine how long it takes for the Kia car to overtake the Toyota car, we need to calculate the distance each car covers in two hours and compare them.
Step 1: Calculate the distance covered by the Toyota car in two hours:
Distance = Speed × Time
Distance = 60 kph × 2 hours
Distance = 120 km
Step 2: Calculate the speed difference between the Kia car and the Toyota car:
Speed difference = Kia car speed - Toyota car speed
Speed difference = 90 kph - 60 kph
Speed difference = 30 kph
Step 3: Divide the distance covered by the Toyota car by the speed difference to get the time it takes for the Kia car to overtake the Toyota car:
Time = Distance / Speed difference
Time = 120 km / 30 kph
Time = 4 hours
Therefore, it will take 4 hours for the Kia car to overtake the Toyota car.
To determine how long it will take for the Kia car to catch up to the Toyota car, we need to find the distance traveled by both cars after the two-hour mark. Since we know the rate (speed) at which each car is traveling, we can use the formula:
Distance = Speed × Time
Let's calculate the distance traveled by the Toyota car:
Distance traveled by Toyota = Speed of Toyota car × Time
Distance traveled by Toyota = 60 kph × 2 hours
Distance traveled by Toyota = 120 km
The Toyota car has traveled 120 kilometers after the two-hour mark. Now, let's determine how long it will take for the Kia car to cover the same distance. We can use the formula:
Time = Distance / Speed
Time taken by Kia to catch up to Toyota = Distance traveled by Toyota / Speed of Kia car
Time taken by Kia to catch up to Toyota = 120 km / 90 kph
Time taken by Kia to catch up to Toyota = 1.33 hours or approximately 1 hour and 20 minutes
Therefore, it will take around 1 hour and 20 minutes for the Kia car to catch up to the Toyota car.