Question

A doctor gives Vishal 3 pills to take with a gap of 30 minutes. What is the minimum time by which Vishal will get rid of his pain?

• A. 1 hr 30 min
• B. 30 min
• C. 45 min
• D. 60 min

Hint:

For “pills with fixed gap,” the total time for \(n\) pills is \((n-1)\times\)gap because the first pill is taken at \(t=0\).

Answer 1

The Correct Option is D

Step 1: Understand “gap of 30 minutes.”
The gap is between the start times of consecutive pills.
Step 2: Schedule the 3 pills.
Take the first pill at \(t=0\) (immediately), the second at \(t=30\) min, the third at \(t=60\) min. There are only two gaps for three pills.
Step 3: Conclude.
All pills taken by \(t=60\) min \Rightarrow minimum time \(=\boxed{60\text{ min}}\).