Discussion
Rohit drives from his home at a speed of 30 km/hr and reaches his bank 20 minutes late. Then the next day he increases his speed by 15 km/hr but still he is late by 8 minutes. How far is his bank from his home?
Answer: A
Both journeys cover the same distance and both are late, so the difference in lateness is the difference in travel time.
\[ \frac{D}{30} - \frac{D}{45} = \frac{20 - 8}{60} = 0.2 \text{ h} \]
\[ D\left(\frac{3 - 2}{90}\right) = 0.2 \quad\Longrightarrow\quad \frac{D}{90} = 0.2 \]
\[ D = 18 \text{ km} \]
The scheduled arrival time never has to be found - only the 12-minute gap between the two lateness figures matters.
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