Discussion
A train travels between P and Q in 3 hours. When the speed of train is increased by 6 km/hr, then it covers the same distance in 2 hours. What is original speed of train? Also find the distance between P and Q?
Answer: B
The distance is the same both ways, so equate the two expressions for it.
\[ 3v = 2(v + 6) \]
\[ 3v = 2v + 12 \quad\Longrightarrow\quad v = 12 \text{ km/hr} \]
\[ D = 3 \times 12 = 36 \text{ km} \]
Checking: at 18 km/hr the same 36 km takes 2 hours.
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