A man covers frac{1}{3} of his journey by tra | vedclass

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

Question

(C) Let the total distance of the journey be $3d$. Each part of the journey is $d$. Time taken for the first part $t_1 = \frac{d}{80}$. Time taken for

Vedclass · Accepted Answer

$48$

Vedclass · Answer

(C) Let the total distance of the journey be $3d$. Each part of the journey is $d$. Time taken for the first part $t_1 = \frac{d}{80}$. Time taken for the second part $t_2 = \frac{d}{60}$. Time taken for the third part $t_3 = \frac{d}{30}$. Total time $T = t_1 + t_2 + t_3 = d(\frac{1}{80} + \frac{1}{60} + \frac{1}{30})$. $T = d(\frac{3 + 4 + 8}{240}) = d(\frac{15}{240}) = \frac{d}{16}$. Average speed $= \frac{	ext{Total distance}}{	ext{Total time}} = \frac{3d}{d/16} = 3 	imes 16 = 48\, km/h$.

$A$ man covers $\frac{1}{3}$ of his journey by train at $80\, km/h$,the next $\frac{1}{3}$ by bus at $60\, km/h$,and the rest by bicycle at $30\, km/h$. Find the average speed of the man during the whole journey (in $km/h$).

Similar Questions

The average of the first $n$ consecutive even numbers is $101$. Find their sum.

The average age of $x$ and $y$ is $20$ years. If $z$ were to replace $x$,the average would be $19$ and if $z$ were to replace $y$,the average would be $21$. Find the ages of $x, y$ and $z$.

The average weight of $8$ sailors in a boat is increased by $1 \, kg$ if one of them weighing $56 \, kg$ is replaced by a new sailor. The weight of the new sailor is (in $kg$):

The average of $10$ numbers is $7$. What will be the new average if each of the numbers is multiplied by $8$?

The average of $6$ numbers is $3.95$. The average of two of them is $3.4$,while the average of the other two is $3.85$. What is the average of the remaining two numbers?

Vedclass Test Series

Exam Paper Generator

Online Exam Module