(A) Let Rakesh's speed be $v_1$ and Suresh's speed be $v_2$.Let the time taken by them after meeting be $T_1 = 9 \, \text{hours}$ and $T_2 = 16 \, \te

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(A) Let Rakesh's speed be $v_1$ and Suresh's speed be $v_2$.Let the time taken by them after meeting be $T_1 = 9 \, \text{hours}$ and $T_2 = 16 \, \text{hours}$ respectively.The formula for the ratio of speeds when two people meet and then complete their journeys in times $T_1$ and $T_2$ is given by $\frac{v_1}{v_2} = \sqrt{\frac{T_2}{T_1}}$.Substituting the given values: $\frac{16}{v_2} = \sqrt{\frac{16}{9}}$.$\frac{16}{v_2} = \frac{4}{3}$.$4 \times v_2 = 16 \times 3$.$4 \times v_2 = 48$.$v_2 = 12 \, \text{km/h}$.Thus,Suresh's speed is $12 \, \text{km/h}$.

Competitive Quantitative Aptitude Time and Distances Time and Distances

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Rakesh sets out to cycle from Delhi to Mathura and at the same time Suresh starts from Mathura to Delhi. After passing each other,they complete their journeys in $9$ and $16 \, \text{hours}$,respectively. At what speed does Suresh cycle if Rakesh cycles at $16 \, \text{km/h}$?

A
$12 \, \text{km/h}$
B
$16 \, \text{km/h}$
C
$14 \, \text{km/h}$
D
None of these

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Rakesh sets out to cycle from Delhi to Mathura and at the same time Suresh starts from Mathura to Delhi. After passing each other,they complete their journeys in $9$ and $16 \, \text{hours}$,respectively. At what speed does Suresh cycle if Rakesh cycles at $16 \, \text{km/h}$?

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$A$ certain distance is covered by a cyclist at a certain speed. If a jogger covers half the distance in double the time,the ratio of the speed of the jogger to that of the cyclist is

$50$ trees are standing in a line such that the distance between any two consecutive trees is the same. $A$ car takes $18 \, seconds$ to travel from the $13^{th}$ tree to the $34^{th}$ tree. How much time (in $seconds$) will it take to reach from the first tree to the $50^{th}$ tree?

$A$ truck covers a distance of $396 \, km$ in $5 \, hours \, 30 \, minutes$. The average speed of a bike is $\frac{4}{3}$ of the average speed of the truck. What is the time taken by the bike to cover a distance of $12 \, km$ less than the distance covered by the truck?

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