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

Solution:

The statement is False(F).

Distance(D) = Speed(S) × Time(T)

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

If speed is kept fixed then Distance(D) will vary directly with time taken.

In other words if distance increases, time taken will be more and hence Speed(S) will remain constant as shown below.

Speed(S) remains constant = Distance(D) ↑/ Time(T) ↑

Also if distance decreases, time taken will be less and hence Speed(S) will remain constant as shown below.

Speed(S) remains constant = Distance(D) ↓/ Time(T) ↓

✦ Try This: A car travels with an average speed of 56 km/h. What will be the time taken by the car to cover distances of 280 km, 560 km and 140 km?

Since Speed is Fixed at 56 km/hour time taken to cover the various distances will be as follows:

(a) Time Taken to cover 280 km = 280/56 = 5 hours

(b) Time Taken to cover 560 Km = 560/56 = 10 hours

(c) Time Taken to cover 140 Km = 140/56 = 2.5 hours

It is evident from above that as distance increases and decreases the time taken increases and decreases respectively.

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

NCERT Exemplar Class 8 Maths Chapter 10 Problem 44

When the speed is kept fixed, time and distance vary inversely with each other.

Summary:

When the speed is kept fixed, time and distance vary inversely with each other. The statement is False.

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