A car moving on a straight road covers one-th | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Let the total distance be $x$.Time taken to cover the first one-third distance $(x/3)$ at $v_1 = 20 \, km/hr$ is $t_1 = \frac{x/3}{20} = \frac{x}{

Vedclass · Accepted Answer

$36$

Vedclass · Answer

(D) Let the total distance be $x$.Time taken to cover the first one-third distance $(x/3)$ at $v_1 = 20 \, km/hr$ is $t_1 = \frac{x/3}{20} = \frac{x}{60} \, hr$.Time taken to cover the remaining two-thirds distance $(2x/3)$ at $v_2 = 60 \, km/hr$ is $t_2 = \frac{2x/3}{60} = \frac{2x}{180} = \frac{x}{90} \, hr$.Average speed is defined as the total distance divided by the total time: $v_{avg} = \frac{x}{t_1 + t_2}$.$v_{avg} = \frac{x}{\frac{x}{60} + \frac{x}{90}} = \frac{1}{\frac{1}{60} + \frac{1}{90}}$.Finding a common denominator: $\frac{1}{60} + \frac{1}{90} = \frac{3+2}{180} = \frac{5}{180} = \frac{1}{36}$.Therefore,$v_{avg} = \frac{1}{1/36} = 36 \, km/hr$.

$A$ car moving on a straight road covers one-third of the distance with $20 \, km/hr$ and the rest with $60 \, km/hr$. The average speed is .......... $km/hr$.

Similar Questions

$A$ particle moving in a straight line covers half the distance with a speed of $3 \, m/s$. The other half of the distance is covered in two equal time intervals with speeds of $4.5 \, m/s$ and $7.5 \, m/s$ respectively. The average speed of the particle during this motion is...... $\, m/s$

Define speed. Define average speed.

$A$ person walks along a straight road from his house to a market $2.5 \,km$ away with a speed of $5 \,km/h$ and instantly turns back and reaches his house with a speed of $7.5 \,km/h$. The average speed of the person during the time interval $0$ to $50 \,min$ is (in $m/s$)

$A$ train travels from city-$A$ to city-$B$ with a constant speed of $18 \,ms^{-1}$ and returns back to city-$A$ with a constant speed of $36 \,ms^{-1}$. Find its average speed during the journey. (in $\,ms^{-1}$)

If a person moving along a straight line path covers the first half distance with velocity $V_1$ and the next half distance with velocity $V_2$,then the average velocity of the person is

Vedclass Test Series

Exam Paper Generator

Online Exam Module