Answer:
Two cars are 400 km apart. One car is traveling at 55 km/h, and the other cars are traveling at 45 km/h; if they start at the same time and are driving toward each other, the two cars will meet after 4 hours.
Solution:
Let the two-car be A and B.
Given that two cars are 400 km apart.
Let us assume The distance traveled by A to meet B = x km.
The distance traveled by B can be found by subtracting the total distance x from a length is traveled by A.
So distance travelled by B = (400-x) km
Time taken will be the same for A and B
We know that, we get
Let us consider the time taken by car. So time is taken by A to travel x km =
Similarly, time is taken by B to travel distance (400-x) km =
When the two cars meet, .hence we get,
On solving above equation,
9x = 11(400 – x)
9x = 4400 – 11x
9x + 11x = 4400
20x = 4400
X = 220
After 220 km of travel, the car with a speed of 55 km will meet other cars traveling at a rate of 45 km. Now the time taken for two cars to meet each other is given as,
Time is taken for cars to meet =
Hence the two cars will meet after 4 hours.
Step-by-step explanation:
