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Solve the word problem based on Linear equations in two variables:-
.. 1) Point A and B are 50 km part on a highway. A car starts from A and another car start from B at the same time. If they travelled in the same direction, they meet in 5 hours but if they move towards each other they meet in 1 hour. Find their speeds.?
.. 1) Point A and B are 50 km part on a highway. A car starts from A and another car start from B at the same time. If they travelled in the same direction, they meet in 5 hours but if they move towards each other they meet in 1 hour. Find their speeds.?
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Solve the word problem based on Linear equations in two variables:-.. ...
Solution:
Let the speed of the car starting from point A be x km/h and the speed of the car starting from point B be y km/h.
When they travel in the same direction:
Relative speed of the two cars = (x - y) km/h (as they are moving in the same direction)
Distance between the two cars = 50 km (as they are 50 km apart)
Time taken to meet = 5 hours
Using the formula, distance = speed x time, we get:
50 = (x - y) x 5
50 = 5x - 5y
10 = x - y ...(1)
When they travel towards each other:
Relative speed of the two cars = (x + y) km/h (as they are moving towards each other)
Distance between the two cars = 50 km (as they are 50 km apart)
Time taken to meet = 1 hour
Using the formula, distance = speed x time, we get:
50 = (x + y) x 1
50 = x + y
x = 50 - y ...(2)
Substituting the value of x from equation (2) into equation (1), we get:
10 = (50 - y) - y
10 = 50 - 2y
2y = 40
y = 20
Substituting the value of y in equation (2), we get:
x = 50 - 20 = 30
Therefore, the speed of the car starting from point A is 30 km/h and the speed of the car starting from point B is 20 km/h.
Answer: The speeds of the two cars are 30 km/h and 20 km/h.
Let the speed of the car starting from point A be x km/h and the speed of the car starting from point B be y km/h.
When they travel in the same direction:
Relative speed of the two cars = (x - y) km/h (as they are moving in the same direction)
Distance between the two cars = 50 km (as they are 50 km apart)
Time taken to meet = 5 hours
Using the formula, distance = speed x time, we get:
50 = (x - y) x 5
50 = 5x - 5y
10 = x - y ...(1)
When they travel towards each other:
Relative speed of the two cars = (x + y) km/h (as they are moving towards each other)
Distance between the two cars = 50 km (as they are 50 km apart)
Time taken to meet = 1 hour
Using the formula, distance = speed x time, we get:
50 = (x + y) x 1
50 = x + y
x = 50 - y ...(2)
Substituting the value of x from equation (2) into equation (1), we get:
10 = (50 - y) - y
10 = 50 - 2y
2y = 40
y = 20
Substituting the value of y in equation (2), we get:
x = 50 - 20 = 30
Therefore, the speed of the car starting from point A is 30 km/h and the speed of the car starting from point B is 20 km/h.
Answer: The speeds of the two cars are 30 km/h and 20 km/h.
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Solve the word problem based on Linear equations in two variables:-.. 1) Point A and B are 50 km part on a highway. A car starts from A and another car start from B at the same time. If they travelled in the same direction, they meet in 5 hours but if they move towards each other they meet in 1 hour. Find their speeds.?
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Solve the word problem based on Linear equations in two variables:-.. 1) Point A and B are 50 km part on a highway. A car starts from A and another car start from B at the same time. If they travelled in the same direction, they meet in 5 hours but if they move towards each other they meet in 1 hour. Find their speeds.? 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 Solve the word problem based on Linear equations in two variables:-.. 1) Point A and B are 50 km part on a highway. A car starts from A and another car start from B at the same time. If they travelled in the same direction, they meet in 5 hours but if they move towards each other they meet in 1 hour. Find their speeds.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve the word problem based on Linear equations in two variables:-.. 1) Point A and B are 50 km part on a highway. A car starts from A and another car start from B at the same time. If they travelled in the same direction, they meet in 5 hours but if they move towards each other they meet in 1 hour. Find their speeds.?.
Solve the word problem based on Linear equations in two variables:-.. 1) Point A and B are 50 km part on a highway. A car starts from A and another car start from B at the same time. If they travelled in the same direction, they meet in 5 hours but if they move towards each other they meet in 1 hour. Find their speeds.? 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 Solve the word problem based on Linear equations in two variables:-.. 1) Point A and B are 50 km part on a highway. A car starts from A and another car start from B at the same time. If they travelled in the same direction, they meet in 5 hours but if they move towards each other they meet in 1 hour. Find their speeds.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Solve the word problem based on Linear equations in two variables:-.. 1) Point A and B are 50 km part on a highway. A car starts from A and another car start from B at the same time. If they travelled in the same direction, they meet in 5 hours but if they move towards each other they meet in 1 hour. Find their speeds.?.
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Solve the word problem based on Linear equations in two variables:-.. 1) Point A and B are 50 km part on a highway. A car starts from A and another car start from B at the same time. If they travelled in the same direction, they meet in 5 hours but if they move towards each other they meet in 1 hour. Find their speeds.?, a detailed solution for Solve the word problem based on Linear equations in two variables:-.. 1) Point A and B are 50 km part on a highway. A car starts from A and another car start from B at the same time. If they travelled in the same direction, they meet in 5 hours but if they move towards each other they meet in 1 hour. Find their speeds.? has been provided alongside types of Solve the word problem based on Linear equations in two variables:-.. 1) Point A and B are 50 km part on a highway. A car starts from A and another car start from B at the same time. If they travelled in the same direction, they meet in 5 hours but if they move towards each other they meet in 1 hour. Find their speeds.? theory, EduRev gives you an
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