Ramesh drives from his home at a speed of 40 km/h and reaches his college 25 minutes late. The next day he increases his
speed by 10 km/h, yet he is late by 10 minutes. How far is his college from his home?
This questions was previously asked in
SSC CHSL 24th May 2022 Shift-1
Explanation:
- Ramesh travels at 40 km/h and is 25 minutes late, and the next day at 50 km/h, he is only 10 minutes late.
- Let's denote the actual time Ramesh should take to reach college as \( t \).
- The first day, the time taken is \( \frac{d}{40} = t + \frac{25}{60} \).
- The second day, the time taken is \( \frac{d}{50} = t + \frac{10}{60} \).
- Solving these equations:
\[ \frac{d}{40} - \frac{d}{50} = \frac{25}{60} - \frac{10}{60} \]
\[ \frac{5d}{2000} = \frac{15}{60} \]
\[ d = 50 \, \text{km} \]
- Correct Option: \(\) Option 1: 50 km
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