A car moves from $A$ to $B$ with a speed of $30 \,kmph$ and from $B$ to $A$ with a speed of $20\,kmph$. What is the average speed of the car ?
- 25 km/h
- 24 km/h
- 50 km/h
- 10 km/h
The Correct Option is B
Solution and Explanation
The correct option is(B): 24 km/h.
We have given that
Speed of Ist car
\(v_{1}=30\, km / h\)
Speed of IInd car
\(v_{2}=20\, km / h\)
The average speed of the car
\(=\frac{2 v_{1} v_{2}}{v_{1}+v_{2}}=\frac{2 \times 30 \times 20}{30+20}\)
\(=\frac{1200}{50}=24\, km / h\)
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Concepts Used:
Motion in a straight line
The motion in a straight line is an object changes its position with respect to its surroundings with time, then it is called in motion. It is a change in the position of an object over time. It is nothing but linear motion.
Types of Linear Motion:
Linear motion is also known as the Rectilinear Motion which are of two types:
- Uniform linear motion with constant velocity or zero acceleration: If a body travels in a straight line by covering an equal amount of distance in an equal interval of time then it is said to have uniform motion.
- Non-Uniform linear motion with variable velocity or non-zero acceleration: Not like the uniform acceleration, the body is said to have a non-uniform motion when the velocity of a body changes by unequal amounts in equal intervals of time. The rate of change of its velocity changes at different points of time during its movement.