# When the speed remains constant, the distance travelled is ______ proportional to the time

**Solution: **

Speed (S) is defined as

S = Distance(D)/Time(T)

If speed is constant, it implies

(1) If D increases T also increases i.e. if distance increases time taken also increases

(2) If D decreases T also decreases i.e. if distance is less time taken is less

Hence we can conclude that distance and time are in direct proportion with each other

D ∝ T

D/T = k

Where k = proportionality constant

**✦ Try This:** When distance remains constant, the time taken to travel the given distance is ______ proportional to the time.

Speed (S) is defined as

S = Distance(D)/Time(T)

Distance (D) = Time(T) × Speed(S)

If distance is constant, it implies

(1) If S increases T decreases i.e. if speed increases time taken is less.

(2) If S decreases T increases i.e. if speed is less time taken is more

Hence we can conclude that speed and time taken are inversely proportional

ST = k where k = proportionality constant

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

**NCERT Exemplar Class 8 Maths Chapter 10 Problem 28**

## When the speed remains constant, the distance travelled is ______ proportional to the time

**Summary:**

When the speed remains constant, the distance travelled is __directly__ proportional to the time

**☛ Related Questions:**

- On increasing a, b increases in such a manner that a/b remains______ and positive, then a and b are . . . .
- If on increasing a, b decreases in such a manner that _______ remains ______ and positive, then a an . . . .
- If two quantities x and y vary directly with each other, then ______ of their corresponding values r . . . .

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