Question

Two trains from two places start running in the opposite direction and reach the destination at the midpoint after $3\frac{1}{3}$ hours and $4\frac{4}{5}$ hours. If the speed of the first train is $80$ km/hr, then the speed of the 2nd train (in km/hr) is

• A. $64\frac{2}{3}$
• B. $66\frac{2}{3}$
• C. $55\frac{5}{9}$
• D. $75$

Answer 1

The correct option is C $55\frac{5}{9}$

$\text{Let speed of second train is x km/hr}$

$\text{if both train reaches the destination at the mid point then,}$

$\text{distance left to be covered by A = distance covered by B}.......\left(i\right)$

and

$\text{Distance = speed x time taken}$

from (i)

$x\times \frac{24}{5}=80\times \frac{10}{3}$

$x=55\frac{5}{9}$

option c is correct