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There are two points on a highway a,b. They are 70 km apart. An auto starts from A and another auto starts from B simultaneously. If they travel in the same direction, they meet in 7 hours, but if they travel towards each other they meet in 1 hour. Find how fast the two autos are.?
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There are two points on a highway a,b. They are 70 km apart. An auto s...
Let speed of auto A = x km / h Let speed of auto B = y km / h Distance = 70 km First case when they travel in same direction then speed will be x - y km / h Second case when they travel towards each other then speed will be x + y km / h Distance = Time × speed In first case ( x - y ) 7 = 70x - y = 70 / 7x - y = 10 ... ( i) In second case ( x + y ) 1 = 70 x + y = 70 .... ( ii) x + y = 70 x - y = 10 By elimination method 2x = 80 x = 40 km / h Put the value of x in ( i) eqn . x - y = 10 40 - y = 10 -y = 10 - 40 -y = -30y = 30 km / h Hope this will help you
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There are two points on a highway a,b. They are 70 km apart. An auto s...
Problem Statement: Two autos A and B start from two points on a highway 70 km apart. They travel in the same direction and meet in 7 hours, but if they travel towards each other they meet in 1 hour. Find the speed of the two autos.
Approach:
Let the speed of auto A be x km/hr and the speed of auto B be y km/hr.
When they travel in the same direction, their relative speed will be x-y km/hr. They cover a distance of 70 km in 7 hours.
Hence, (x-y) * 7 = 70
x-y = 10
When they travel towards each other, their relative speed will be x+y km/hr. They cover a distance of 70 km in 1 hour.
Hence, (x+y) * 1 = 70
x+y = 70
We have two equations:
x-y = 10
x+y = 70
Solving these equations, we get:
x = 40 km/hr
y = 30 km/hr
Hence, the speed of auto A is 40 km/hr and the speed of auto B is 30 km/hr.
Conclusion: The two autos have speeds of 40 km/hr and 30 km/hr respectively.
Approach:
Let the speed of auto A be x km/hr and the speed of auto B be y km/hr.
When they travel in the same direction, their relative speed will be x-y km/hr. They cover a distance of 70 km in 7 hours.
Hence, (x-y) * 7 = 70
x-y = 10
When they travel towards each other, their relative speed will be x+y km/hr. They cover a distance of 70 km in 1 hour.
Hence, (x+y) * 1 = 70
x+y = 70
We have two equations:
x-y = 10
x+y = 70
Solving these equations, we get:
x = 40 km/hr
y = 30 km/hr
Hence, the speed of auto A is 40 km/hr and the speed of auto B is 30 km/hr.
Conclusion: The two autos have speeds of 40 km/hr and 30 km/hr respectively.
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There are two points on a highway a,b. They are 70 km apart. An auto starts from A and another auto starts from B simultaneously. If they travel in the same direction, they meet in 7 hours, but if they travel towards each other they meet in 1 hour. Find how fast the two autos are.?
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There are two points on a highway a,b. They are 70 km apart. An auto starts from A and another auto starts from B simultaneously. If they travel in the same direction, they meet in 7 hours, but if they travel towards each other they meet in 1 hour. Find how fast the two autos are.? 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 There are two points on a highway a,b. They are 70 km apart. An auto starts from A and another auto starts from B simultaneously. If they travel in the same direction, they meet in 7 hours, but if they travel towards each other they meet in 1 hour. Find how fast the two autos are.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are two points on a highway a,b. They are 70 km apart. An auto starts from A and another auto starts from B simultaneously. If they travel in the same direction, they meet in 7 hours, but if they travel towards each other they meet in 1 hour. Find how fast the two autos are.?.
There are two points on a highway a,b. They are 70 km apart. An auto starts from A and another auto starts from B simultaneously. If they travel in the same direction, they meet in 7 hours, but if they travel towards each other they meet in 1 hour. Find how fast the two autos are.? 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 There are two points on a highway a,b. They are 70 km apart. An auto starts from A and another auto starts from B simultaneously. If they travel in the same direction, they meet in 7 hours, but if they travel towards each other they meet in 1 hour. Find how fast the two autos are.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for There are two points on a highway a,b. They are 70 km apart. An auto starts from A and another auto starts from B simultaneously. If they travel in the same direction, they meet in 7 hours, but if they travel towards each other they meet in 1 hour. Find how fast the two autos are.?.
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There are two points on a highway a,b. They are 70 km apart. An auto starts from A and another auto starts from B simultaneously. If they travel in the same direction, they meet in 7 hours, but if they travel towards each other they meet in 1 hour. Find how fast the two autos are.?, a detailed solution for There are two points on a highway a,b. They are 70 km apart. An auto starts from A and another auto starts from B simultaneously. If they travel in the same direction, they meet in 7 hours, but if they travel towards each other they meet in 1 hour. Find how fast the two autos are.? has been provided alongside types of There are two points on a highway a,b. They are 70 km apart. An auto starts from A and another auto starts from B simultaneously. If they travel in the same direction, they meet in 7 hours, but if they travel towards each other they meet in 1 hour. Find how fast the two autos are.? theory, EduRev gives you an
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