# Moderate Time, Speed & Distance Solved QuestionAptitude Discussion

 Q. A passenger train covers the distance between stations $X$ and $Y$, 50 minutes faster than a goods train. Find this distance if the average speed of the passenger train is 60 kmph and that of goods train is 20 kmph
 ✖ A. 20 kms ✔ B. 25 kms ✖ C. 45 kms ✖ D. 40 kms

Solution:
Option(B) is correct

Let '$d$' be the distance between the stations $X$ and $Y$.

Time taken by the passenger train to cover the distance '$d$'$=\dfrac{d}{60}$ hour

Time taken by the goods train to cover the distance '$d$'$=\dfrac{d}{20}$ hour

Time difference between these two trains is given by 50 minutes or $\dfrac{50}{60}$ hour

$\Rightarrow \dfrac{d}{20}-\dfrac{d}{60}=\dfrac{50}{60}$

$\Rightarrow \dfrac{d(60-20)}{20\times 60}=\dfrac{50}{60}$

$d$ = 25 kms