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Two motor cars start from one point and move along two roads at right angles to each other. If their speeds be respectively 36 km/hr and 48 km/hr, then after half and hour they will be x km apart. What is x?
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Two motor cars start from one point and move along two roads at right ...
Problem: Two motor cars start from one point and move along two roads at right angles to each other. If their speeds be respectively 36 km/hr and 48 km/hr, then after half an hour they will be x km apart. What is x?
Solution:
Given,
Speed of first car = 36 km/hr
Speed of second car = 48 km/hr
Let us assume that the two roads along which the cars move are perpendicular to each other, and the point where they started is the origin of a coordinate system. Let the roads be the x-axis and y-axis. Then, the position of the first car after half an hour can be represented by the point (18, 0) and the position of the second car after half an hour can be represented by the point (0, 24).
Using the distance formula, we can find the distance between the two points:
d = sqrt((18-0)^2 + (24-0)^2)
d = sqrt(18^2 + 24^2)
d = sqrt(900)
d = 30
Therefore, after half an hour, the two cars will be 30 km apart.
Answer: x = 30 km
Solution:
Given,
Speed of first car = 36 km/hr
Speed of second car = 48 km/hr
Let us assume that the two roads along which the cars move are perpendicular to each other, and the point where they started is the origin of a coordinate system. Let the roads be the x-axis and y-axis. Then, the position of the first car after half an hour can be represented by the point (18, 0) and the position of the second car after half an hour can be represented by the point (0, 24).
Using the distance formula, we can find the distance between the two points:
d = sqrt((18-0)^2 + (24-0)^2)
d = sqrt(18^2 + 24^2)
d = sqrt(900)
d = 30
Therefore, after half an hour, the two cars will be 30 km apart.
Answer: x = 30 km
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Two motor cars start from one point and move along two roads at right angles to each other. If their speeds be respectively 36 km/hr and 48 km/hr, then after half and hour they will be x km apart. What is x?
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Two motor cars start from one point and move along two roads at right angles to each other. If their speeds be respectively 36 km/hr and 48 km/hr, then after half and hour they will be x km apart. What is x? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Two motor cars start from one point and move along two roads at right angles to each other. If their speeds be respectively 36 km/hr and 48 km/hr, then after half and hour they will be x km apart. What is x? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two motor cars start from one point and move along two roads at right angles to each other. If their speeds be respectively 36 km/hr and 48 km/hr, then after half and hour they will be x km apart. What is x?.
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