Which of the following vary inversely with each other (a) speed and distance covered, (b) distance covered and taxi fare, (c) distance travelled and time taken, (d) speed and (2024)

FAQs

Which of the following vary inversely with each other (a) speed and distance covered, (b) distance covered and taxi fare, (c) distance travelled and time taken, (d) speed and? ›

speed and time taken.

Complete answer:

(D) Speed and time taken: Speed is defined as the rate of change of distance. Logically, when the time taken for a body to reach a certain place is more, it is said to have less speed. This means that when speed increases, time decreases and hence they are inversely proportional.

Hence, the number of men (x) hired to construct a wall and the time taken (y) to finish the job vary inversely with each other.

Given, speed is kept fixed. We know that distance = speed×time. If speed is constant then the distance and time are directly proportional since they are in relation that x = ay. Hence, the given statement is false and the correct option is 2.

Relationship between speed, distance and time

Speed is inversely proportional to time. That means as the speed increases, the time required to travel a certain distance decreases. Speed is directly proportional to distance. Therefore, as the speed increases, the distance travelled also increases.

In an inverse variation, the values of the two variables change in an opposite manner – as one value increases, the other decreases. It is said that one variable varies inversely as the other. The formula for inverse variation is y = k/x, where k is the constant of variation.

If two quantities p and q vary inversely with each other, then product of their corresponding values remains constant.

Relationship Between Speed, Time & Distance

Speed = Distance/Time – This tells us how slow or fast an object moves. It describes the distance travelled divided by the time taken to cover the distance. Time = Distance / Speed, as the speed increases the time taken will decrease and vice versa.

If the speed of an object does not change during its motion, the object is traveling at a constant speed.

Hence, distance (x) and time (y) vary directly with each other, when speed remains the same.

What is inversely proportional to distance? ›

Indeed, based on what we know about the relationship between distance and intensity (the inverse square law, I ∝ 1/d²), we can see that the relationship between distance and amplitude is simply A ∝ 1/d; amplitude is inversely proportional to distance.

Newton's law states: The gravitational attraction force between two point masses is directly proportional to the product of their masses and inversely proportional to the square of their separation distance.

The speed of a vehicle is inversely proportional to the time it takes to travel a fixed distance.

Newton's law states: The gravitational attraction force between two point masses is directly proportional to the product of their masses and inversely proportional to the square of their separation distance. The force is always attractive and acts along the line joining them.

The magnitude of the gravitational force between two bodies is inversely proportional to the square of the distance between them.

Since force is proportional to the density of field lines, the force is inversely proportional to distance squared. The electrostatic force is also very similar to gravitational force. As distance increases from the charge the area of the circle increases according to the square of its radius..