distance = rate * time ... when have they traveled the same distance?
60 * (t + 2) = 90 * t
60 * (t + 2) = 90 * t
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!
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.
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.