A car covers a distance at a speed of 60 km | vedclass

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

Question

(A) Let the car cover a distance $s$ from point $A$ to $B$ and then return to point $A$.The average speed is defined as the total distance covered div

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(A) Let the car cover a distance $s$ from point $A$ to $B$ and then return to point $A$.The average speed is defined as the total distance covered divided by the total time taken.Time taken from $A$ to $B$ is $t_1 = \frac{s}{60}$.Time taken from $B$ to $A$ is $t_2 = \frac{s}{V}$.The total distance is $s + s = 2s$.The total time is $t_1 + t_2 = \frac{s}{60} + \frac{s}{V}$.Given the average speed is $48 \ km \ h^{-1}$,we have:$48 = \frac{2s}{\frac{s}{60} + \frac{s}{V}}$Dividing both sides by $s$ (assuming $s 
eq 0$):$48 = \frac{2}{\frac{1}{60} + \frac{1}{V}}$$\frac{1}{60} + \frac{1}{V} = \frac{2}{48} = \frac{1}{24}$$\frac{1}{V} = \frac{1}{24} - \frac{1}{60}$$\frac{1}{V} = \frac{5 - 2}{120} = \frac{3}{120} = \frac{1}{40}$Therefore,$V = 40 \ km \ h^{-1}$.

$A$ car covers a distance at a speed of $60 \ km \ h^{-1}$. It returns and comes back to the original point moving at a speed of $V$. If the average speed for the round trip is $48 \ km \ h^{-1}$,then the magnitude of $V$ is (in $km \ h^{-1}$)

Similar Questions

$A$ person travels along a straight road for the first half time with a velocity $v_1$ and the next half time with a velocity $v_2$. The mean velocity $V$ of the man is

$A$ particle moves in the east direction with $15 \, m/s$ for $2 \, s$,then moves northward with $5 \, m/s$ for $8 \, s$. The average velocity of the particle is:

Is it possible for a moving object to have a constant velocity and a changing speed?

$A$ man walks on a straight road from his home to a market $2.5 \; km$ away with a speed of $5 \; km \; h^{-1}$. Finding the market closed,he instantly turns and walks back home with a speed of $7.5 \; km \; h^{-1}$. What is the average speed of the man over the interval of time $0$ to $30 \; min$?

$A$ person travels along a straight road for half the distance with velocity $v_1$ and the remaining half distance with velocity $v_2$. The average velocity is given by:

Vedclass Test Series

Exam Paper Generator

Online Exam Module