A bus leaves from Chennai to Bangalore and Bangalore to Chennai every hour, the first one at 6 a.m. The trip from one city to other takes 3½ hours, and all buses travel at the same speed. How many buses will you pass while going from Chennai to Bangalore if you start at 12 noon? (excluding the buses at Chennai or Bangalore)
Explanation:
The last bus to arrive in Chennai before we leave would’ve arrived at 11:30. This bus would’ve left Bangalore at 8 a.m. We will not be able to meet this bus but will meet other buses which start after this one.
∴ We will meet buses which left Bangalore at 9 a.m. and after that.
If we start at 12 noon, we will reach Bangalore at 3:30 p.m.
∴ We will mee all buses which left till 3 p.m.
⇒ We meet all buses starting from 9 a.m. till 3 p.m. i.e., 7 buses.
Hence, option (d).
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