A bicycle rider covers his onward journey fro | vedclass

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

Question

(B) Let the distance between $A$ and $B$ be $d 	ext{ km}$.Time taken for the onward journey from $A$ to $B$ is $t_1 = \frac{d}{10} 	ext{ hours}$.Tim

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(B) Let the distance between $A$ and $B$ be $d 	ext{ km}$.Time taken for the onward journey from $A$ to $B$ is $t_1 = \frac{d}{10} 	ext{ hours}$.Time taken for the return journey from $B$ to $A$ is $t_2 = \frac{d}{8} 	ext{ hours}$.The total time taken is $t_1 + t_2 = 4 \frac{1}{2} = \frac{9}{2} 	ext{ hours}$.So,$\frac{d}{10} + \frac{d}{8} = \frac{9}{2}$.Taking the least common multiple of $10$ and $8$,which is $40$,we get $\frac{4d + 5d}{40} = \frac{9}{2}$.$\frac{9d}{40} = \frac{9}{2}$.$d = \frac{9}{2} 	imes \frac{40}{9} = 20 	ext{ km}$.The total distance covered during the entire journey is the sum of the onward and return distances,which is $d + d = 2d$.Total distance $= 2 	imes 20 = 40 	ext{ km}$.

Similar Questions

Buses start from a bus terminal with a speed of $20 \text{ km/h}$ at intervals of $10 \text{ mins}$. What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at intervals of $8 \text{ mins}$? (in $\text{km/h}$)

$A$ train,$240 \, m$ long,crosses a man walking along the line in the opposite direction at the rate of $3 \, km/h$ in $10 \, seconds$. The speed of the train is (in $km/h$):

$A$ person travels from $P$ to $Q$ at a speed of $40 \, km/hr$ and returns by increasing his speed by $50 \%$. What is his average speed for both the trips? (in $km/hr$)

$A$ car covers $\frac{1}{5}$ of the distance from $A$ to $B$ at the speed of $8 \, km/h$,$\frac{1}{10}$ of the distance at $25 \, km/h$,and the remaining at the speed of $20 \, km/h$. Find the average speed of the whole journey in $km/h$. (in $.625$)

Walking $\frac{6}{7}$ of his usual speed, a man is $12 \, \text{minutes}$ late. The usual time taken by him to cover that distance is

Vedclass Test Series

Exam Paper Generator

Online Exam Module