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Travel the routes from Jammu to Delhi and back, meeting at a pivotal point. Calculate the speed ratio of A to B, unraveling the tale of their 361 and 289-hour expeditions.
A walks from points Jammu to Delhi and at the same time B starts walking from Delhi to Jammu. After passing each other, they complete their journeys in 361 hours and 289 hours, respectively. Find the ratio of speed of A to that of B?
The ratio of speed of A to that of B is 17:19
We have the equation:
SA * 361 + SB * 289 = D
And, the ratio of their speeds is:
(SA / SB) = (289 / 361)
To find the ratio of SA to SB, we can divide both sides of the second equation by the same number:
(SA / SB) = (289 / 361) (SA / SB)
= (17 * 17) / (17 * 19) (we can divide both numerator and denominator by 17)
(SA / SB) = 17 / 19
So, the correct answer is indeed:
a. 17:19
Distance, Speed and Time
Distance, speed, and time are fundamental concepts in physics and mathematics, often interconnected through various formulas and equations. Here’s a brief overview of each:
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Distance: Distance refers to the length of the path traveled between two points. It is a scalar quantity, meaning it only has magnitude and no direction. Distance can be measured in various units such as meters, kilometers, miles, etc.
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Speed: Speed is the rate at which an object covers distance. It is defined as the distance traveled per unit of time. Speed is a scalar quantity as it only indicates how fast an object is moving without considering its direction. The standard unit of speed is meters per second (m/s) in the International System of Units (SI).
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Time: Time is a measure of the duration between two events. It is a fundamental component in calculating speed and distance. Time is typically measured in seconds, minutes, hours, etc.
These concepts are related by the formula:
Speed = Distance / Time
This formula can be rearranged to solve for any of the three variables if the other two are known. For example:
- To find distance:Distance = Speed×Time
- To find time:Time = Distance / Speed
Understanding these relationships is crucial in various fields such as physics, engineering, and everyday life, as they allow us to calculate and predict motion and travel times.
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Source: Math Hello Kitty
Categories: Math
