Two cars leave simultaneously from points A and B, the distance between which is 280km. If the cars move to meet each other, they’ll meet in 2 hours. But if they move in the same direction, then the car going from point A will catch up with the car going from point B in 14 hours. What is the speed of each of the cars?
bararskzs
Answered question
2022-12-22
Two cars leave simultaneously from points A and B, the distance between which is . If the cars move to meet each other, they’ll meet in hours. But if they move in the same direction, then the car going from point will catch up with the car going from point in hours. What is the speed of each of the cars?
Answer & Explanation
wiskixk8
Beginner2022-12-23Added 5 answers
Explanation: Given: When two vehicles simultaneously depart from locations A and B, their distance from one another is At certain point the cars move to meet each other in hours. Also, When they move in the same direction, then the car going from point will catch up with the car going from point in hours. To find: The speed of each of the cars. Explanation: Speed is defined as, “the ratio of the distance traveled by the time taken”. That is, Let be the speed of the car at point , and be the speed of the car at point . Also be the distance of the car from point and be the distance of the car from point . From the car at point and the given condition, if the cars move to meet each other in hours, . The speed of the car from point A is,
Similarly, the speed of the car from point is,
If the distance between both cars is , then we get
Additionally, if they proceed in the same direction, the vehicle departing from point will catch up with the car going from point in hours. we get
And,
So,
Now add both sides of the equation (1) and equation (2).
Substitute the obtained value of in equation (2) to find the value of .
Therefore, the value of is , and the value of is . Hence, the speed of the car from point A is and the speed of the car from point B is