Question

Two trains running in opposite directions cross a man standing on the platform in $27$ seconds and $17$ seconds respectively and they cross each other in $23$ seconds. The ratio of their speeds is

• A. $1:2$
• B. $3:2$
• C. $3:4$
• D. $4:3$

Answer 1

The correct option is B $3:2$

Let the speeds of the two trains be $x$ m/sec and $y$ m/sec respectively.
Then, the length of first train $=27x$ m
and the length of second train $=17y$ m.
Now, $\frac{27x+17y}{x+y}=23$
$\Rightarrow 27x+17y=23x+23y$
$\Rightarrow 4x=6y$
$\therefore \frac{x}{y}=\frac{3}{2}$