Question:
A bus goes to station $B$ from $A$ every $\frac{1}{6}th$ of an hour. A car starts from station $B$ towards $A$ at the same instant with the velocity of bus i.e. $60 \,km h^{-1}$. If distance between $A$ and $B$ is $60\,m$ the number of buses met by car is
A bus goes to station $B$ from $A$ every $\frac{1}{6}th$ of an hour. A car starts from station $B$ towards $A$ at the same instant with the velocity of bus i.e. $60 \,km h^{-1}$. If distance between $A$ and $B$ is $60\,m$ the number of buses met by car is
Updated On: Jul 5, 2022
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- 11
- 12
- 13
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The Correct Option is B
Solution and Explanation
Time taken to reach other station =$\frac{60}{60}$ = 1 h
Number of buses leaving A in 1 h = $\frac{1}{1/6}$ = 6
Thus 6th bus just starts when 1st bus reaches B.
The number of buses met by car = 6 + 5 = 11
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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.