Question

There are 23 steps to reach a temple. On descending from the temple, Ram takes two steps in the same time Shyam ascends one step. If they start to work simultaneously, at which step will they meet each other from the bottom?

• A. \(8^{\text{TH}}\)
• B. \(10^{\text{TH}}\)
• C. \(9^{\text{TH}}\)
• D. \(11^{\text{TH}}\)
• E. \(15^{\text{TH}}\)

Hint:

For "meeting" problems like this, the faster person covers more distance. Since Ram is twice as fast, he covers $2/3$ of the distance and Shyam covers $1/3$. $23 \div 3 \approx 7.66$. Since Shyam is moving up, he will be on the 8th step when they encounter each other.

Answer 1

The Correct Option is A