Discussion
A bus is going to Goa from Pune. With 4 stops of 15 minutes each, the average speed of the bus comes out to be 45 km/hr. But if the driver takes the bus without any stops, the average speed comes out to be 50 km/hr. How far is Goa from Pune?
Answer: B
The four stops cost \( 4 \times 15 = 60 \) minutes, or one hour, so the stopped journey takes exactly one hour longer than the non-stop one.
\[ \frac{D}{45} - \frac{D}{50} = 1 \]
\[ D\left(\frac{50 - 45}{2250}\right) = 1 \quad\Longrightarrow\quad \frac{5D}{2250} = 1 \]
\[ D = 450 \text{ km} \]
Checking: 10 hours with stops against 9 hours without.
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