Discussion
Stations M and N are 276 km part. At the exact same time, a train starts from M and other from N towards N and M respectively. These trains meet after 12 hours. The train travelling from M to N is slower by 14 km/hr in comparison to the other train. What is speed of slower train?
Answer: D
Trains moving in the same direction close at the difference of their speeds; in opposite directions, at the sum.
\[ v_{1} + v_{2} = \frac{276}{12} = 23 \text{ km/hr} \]
The slower train is 14 km/hr behind the faster, so
\[ v_{\text{slow}} = \frac{23 - 14}{2} = 4.5 \text{ km/hr} \]
The faster is then 18.5 km/hr, and \( 4.5 + 18.5 = 23 \) as required.
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