A's speed is 1 frac{1}{2} times of B's speed. | vedclass

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

Question

(B) Let the speed of $B$ be $v$. Then the speed of $A$ is $\frac{3}{2}v$.Ratio of speeds of $A$ and $B$ is $A:B = \frac{3}{2}v : v = 3:2$.This means t

Vedclass · Accepted Answer

$900$

Vedclass · Answer

(B) Let the speed of $B$ be $v$. Then the speed of $A$ is $\frac{3}{2}v$.Ratio of speeds of $A$ and $B$ is $A:B = \frac{3}{2}v : v = 3:2$.This means that in a race where $A$ covers $3 \, m$,$B$ covers $2 \, m$.In this scenario,$A$ gains $(3 - 2) = 1 \, m$ over $B$ for every $3 \, m$ of the race length.We are given that $A$ gives $B$ a start of $300 \, m$,meaning $A$ needs to gain $300 \, m$ over $B$ to reach the winning post simultaneously.If $1 \, m$ gain corresponds to a race length of $3 \, m$,then $300 \, m$ gain corresponds to a race length of $3 	imes 300 = 900 \, m$.

$A$'s speed is $1 \frac{1}{2}$ times of $B$'s speed. In a race,$A$ gives $B$ a start of $300 \, m$. How long should the race course be so that both reach the winning post simultaneously? (in $m$)

Similar Questions

$A$ runs $1 \frac{3}{8}$ times as fast as $B$. If $A$ gives $B$ a start of $120 \, m$ and they reach the goal at the same time,the goal is at a distance of (in $m$)

$A$ and $B$ take part in a $100\, m$ race. $A$ runs at $5\, km/h$. $A$ gives $B$ a start of $8\, m$ and still beats him by $8\, s$. The speed of $B$ is (in $km/h$):

Two boys,$A$ and $B$,run at $4.5 \text{ km/h}$ and $6 \text{ km/h}$ respectively. $A$ is given a head start of $190 \text{ m}$. If the total course length is $1 \text{ km}$,by what distance (in $\text{m}$) does $B$ win?

In a $1000\, m$ race,$A$ beats $B$ by $100\, m$ and $C$ by $200\, m$. By how many meters can $B$ beat $C$ in a race of $1350\, m$?

Raju runs $1250\, m$ on Monday and Friday. On other days,he runs $1500\, m$ except for Sunday (he does not run on Sunday). How many kilometers will he run in $3$ weeks (starting from Monday) (in $.5$)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module