When the distance is kept fixed, speed and time vary directly with each other. State whether the statement is true (T) or false (F)

Solution:

The statement is false(F).

When distance is the same the time taken to cover that distance is inversely proportional to the speed. In other words as speed increases the time taken to cover the distance is less and when speed decreases the time taken is more.

Distance(D) = Speed(S)↑ × Time(T)↓

Distance(D) = Speed(S)↓ × Time(T)↑

Hence when distance is fixed Speed and Time are varying inversely  with  each other

✦ Try This: A car travels a distance of 480 km. What will be the time taken by the car to cover the said distance if the speed of the car is 64 km/hour, 32 km/hour and 80 km/hour?

Time Taken(T) = Distance(D)/Speed(S)

Time Taken(T) = 480/64 = 7.5 hours

Time Taken(T)(↑) = 480/32(↓) = 15 hours

Time Taken(T)(↓) = 480/80(↑) = 6 Hours↓

The above calculations reveal that speed and time are inversely proportional when the distance is fixed.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 13

NCERT Exemplar Class 8 Maths Chapter 10 Problem 45

When the distance is kept fixed, speed and time vary directly with each other. State whether the statement is true (T) or false (F)

Summary:

When the distance is kept fixed, speed and time vary directly with each other. The statement is False(F)

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