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

$A$ man travels a distance of $24 \, km$ at $6 \, km/h$,another distance of $24 \, km$ at $8 \, km/h$,and a third distance of $24 \, km$ at $12 \, km/h$. His average speed for the whole journey (in $km/h$) is?

$A$ car is running at a speed of $108 \, km/hr$. What distance will it cover in $15 \, s$? (in $meters$)

The distance between two cities $A$ and $B$ is $330 \, km$. $A$ train starts from $A$ at $8 \, a.m.$ and travels towards $B$ at $60 \, km/hr$. Another train starts from $B$ at $9 \, a.m.$ and travels towards $A$ at $75 \, km/hr$. At what time do they meet?

Ramesh sees a train passing over a $1 \, km$ long bridge. The length of the train is half that of the bridge. If the train passes the bridge in $2 \, minutes$,the speed of the train is (in $km/h$)

Sound travels $330 \text{ m/s}$. If the sound of a thundercloud is heard $10 \text{ s}$ after the flash,the distance of the thundercloud is (in $\text{km}$):

Vedclass Test Series

Exam Paper Generator

Online Exam Module