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Places A and Bare 100km apart on a highway. One car start s from A and another from B at the same time. If the cars travel in the same direction at different speed s,they meet in 5 hours. If they travel towards each other , they meet in 1 hour.What are the speed of the two cars?
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?Places A and Bare 100km apart on a highway. One car start s from A an...
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?Places A and Bare 100km apart on a highway. One car start s from A an...
**Problem Analysis**
Let's assume the speed of the car starting from point A is 'x' km/h and the speed of the car starting from point B is 'y' km/h.
We are given two scenarios:
1. When the cars travel in the same direction, they meet in 5 hours.
2. When the cars travel towards each other, they meet in 1 hour.
**Solution**
Let's solve the two scenarios to find the speeds of the cars.
**Scenario 1: Cars Traveling in the Same Direction**
When the cars travel in the same direction, their relative speed is the difference between their speeds. So, the relative speed of the cars is (x - y) km/h.
Given that they meet in 5 hours, we can set up the equation:
Distance = Speed * Time
Distance traveled by the car starting from point A = x * 5 km
Distance traveled by the car starting from point B = y * 5 km
Since the total distance between A and B is 100 km, we can write:
x * 5 + y * 5 = 100
Simplifying the equation, we get:
x + y = 20 --(1)
**Scenario 2: Cars Traveling Towards Each Other**
When the cars travel towards each other, their relative speed is the sum of their speeds. So, the relative speed of the cars is (x + y) km/h.
Given that they meet in 1 hour, we can set up the equation:
Distance = Speed * Time
Distance traveled by the car starting from point A = x * 1 km
Distance traveled by the car starting from point B = y * 1 km
Since the total distance between A and B is 100 km, we can write:
x * 1 + y * 1 = 100
Simplifying the equation, we get:
x + y = 100 --(2)
**Solving the Equations**
We have two equations:
x + y = 20 --(1)
x + y = 100 --(2)
Subtracting equation (1) from equation (2), we get:
100 - 20 = x + y - x - y
80 = 0
This is not possible. The equations are contradictory, which means there is no solution to the problem.
Hence, there are no valid speeds for the two cars that satisfy both scenarios.
Let's assume the speed of the car starting from point A is 'x' km/h and the speed of the car starting from point B is 'y' km/h.
We are given two scenarios:
1. When the cars travel in the same direction, they meet in 5 hours.
2. When the cars travel towards each other, they meet in 1 hour.
**Solution**
Let's solve the two scenarios to find the speeds of the cars.
**Scenario 1: Cars Traveling in the Same Direction**
When the cars travel in the same direction, their relative speed is the difference between their speeds. So, the relative speed of the cars is (x - y) km/h.
Given that they meet in 5 hours, we can set up the equation:
Distance = Speed * Time
Distance traveled by the car starting from point A = x * 5 km
Distance traveled by the car starting from point B = y * 5 km
Since the total distance between A and B is 100 km, we can write:
x * 5 + y * 5 = 100
Simplifying the equation, we get:
x + y = 20 --(1)
**Scenario 2: Cars Traveling Towards Each Other**
When the cars travel towards each other, their relative speed is the sum of their speeds. So, the relative speed of the cars is (x + y) km/h.
Given that they meet in 1 hour, we can set up the equation:
Distance = Speed * Time
Distance traveled by the car starting from point A = x * 1 km
Distance traveled by the car starting from point B = y * 1 km
Since the total distance between A and B is 100 km, we can write:
x * 1 + y * 1 = 100
Simplifying the equation, we get:
x + y = 100 --(2)
**Solving the Equations**
We have two equations:
x + y = 20 --(1)
x + y = 100 --(2)
Subtracting equation (1) from equation (2), we get:
100 - 20 = x + y - x - y
80 = 0
This is not possible. The equations are contradictory, which means there is no solution to the problem.
Hence, there are no valid speeds for the two cars that satisfy both scenarios.
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?Places A and Bare 100km apart on a highway. One car start s from A and another from B at the same time. If the cars travel in the same direction at different speed s,they meet in 5 hours. If they travel towards each other , they meet in 1 hour.What are the speed of the two cars?
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?Places A and Bare 100km apart on a highway. One car start s from A and another from B at the same time. If the cars travel in the same direction at different speed s,they meet in 5 hours. If they travel towards each other , they meet in 1 hour.What are the speed of the two cars? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about ?Places A and Bare 100km apart on a highway. One car start s from A and another from B at the same time. If the cars travel in the same direction at different speed s,they meet in 5 hours. If they travel towards each other , they meet in 1 hour.What are the speed of the two cars? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ?Places A and Bare 100km apart on a highway. One car start s from A and another from B at the same time. If the cars travel in the same direction at different speed s,they meet in 5 hours. If they travel towards each other , they meet in 1 hour.What are the speed of the two cars?.
?Places A and Bare 100km apart on a highway. One car start s from A and another from B at the same time. If the cars travel in the same direction at different speed s,they meet in 5 hours. If they travel towards each other , they meet in 1 hour.What are the speed of the two cars? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about ?Places A and Bare 100km apart on a highway. One car start s from A and another from B at the same time. If the cars travel in the same direction at different speed s,they meet in 5 hours. If they travel towards each other , they meet in 1 hour.What are the speed of the two cars? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ?Places A and Bare 100km apart on a highway. One car start s from A and another from B at the same time. If the cars travel in the same direction at different speed s,they meet in 5 hours. If they travel towards each other , they meet in 1 hour.What are the speed of the two cars?.
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?Places A and Bare 100km apart on a highway. One car start s from A and another from B at the same time. If the cars travel in the same direction at different speed s,they meet in 5 hours. If they travel towards each other , they meet in 1 hour.What are the speed of the two cars?, a detailed solution for ?Places A and Bare 100km apart on a highway. One car start s from A and another from B at the same time. If the cars travel in the same direction at different speed s,they meet in 5 hours. If they travel towards each other , they meet in 1 hour.What are the speed of the two cars? has been provided alongside types of ?Places A and Bare 100km apart on a highway. One car start s from A and another from B at the same time. If the cars travel in the same direction at different speed s,they meet in 5 hours. If they travel towards each other , they meet in 1 hour.What are the speed of the two cars? theory, EduRev gives you an
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