Relation between Time, Distance and Speed

**Category : **6th Class

A car travels a distance of 300 km in 6 hours. The distance travelled by the car

In one hour \[=\frac{\text{Total distance travelled by the car}}{\text{Total time taken by the car}}=\frac{360}{6}=50kmph\]

If the time taken by the car to cover a distance is increased then the speed of the car will decrease. Therefore, the speed of the car is inversely proportional to the time taken by the car and directly proportional to the distance travelled by the car.

If speed of a car is given then the distance travelled by the car can be derived by the formula of the speed of the car.

Let's assume that the speed of the car is 's', total distance travelled by the car is 'd' and time taken by the car to travel the distance of 'd' is 't'.

According to the formula of speed,

\[Speed\,(s)\,=\frac{Dis\tan ce}{Time\,taken\,(t)}\] or \[s=\frac{d}{t}\] or \[d=st\] or \[t=\frac{d}{s}\].

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**Units of Speed**

The standard unit of distance is metre and standard unit of time is second.

According to the formula of speed \[(s)=\frac{d}{t}=\frac{d\,metre}{t\,\sec ond}\] = metre per second or m/s.

**Units of Speed**

The standard unit of distance is metre and standard unit of time is second.

According to the formula of speed \[(s)=\frac{d}{t}=\frac{d\,metre}{t\,\sec ond}\] = metre per second or m/s.

**Choose the correct option from the following:**

(a) \[Speed=\frac{dis\tan ce}{time}\]

(b) \[Speed=\frac{time}{dis\tan ce}\]

(c) Speed = distance \[\times \] time

(d) All of these

(e) None of these

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**Answer: (a)**

Graph of uniform speed is always a straight line.

Sundial, sand clock and water clock were used for the measurement of time in ancient time.

Graph of non-uniform speed is always a curved line.

Standard unit for the measurement of time is second and other unit of time is its derived unit.

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