Question

A man and a woman 81 miles apart from each other, start travelling towards each other at the same time. If the man covers 5 miles per hour to the women’s 4 mile per hour, how far will the woman have travelled when they meet?

• A. 27
• B. 36
• C. 45
• D. None of these

Answer 1

The Correct Option is B

To solve this problem, we first calculate the time it will take for the man and the woman to meet. They are moving towards each other, so their relative speed is the sum of their individual speeds. The man's speed is 5 miles per hour, and the woman's speed is 4 miles per hour. Therefore, their combined speed is:

5 + 4 = 9 miles per hour. 

The distance between them is 81 miles. We use the formula: Time = Distance / Relative Speed to find the time taken to meet:

Time = 81 / 9 = 9 hours.

Now, we calculate how far the woman travels in this time. Since the woman travels at 4 miles per hour, the distance she covers in 9 hours is:

Distance = Speed × Time = 4 × 9 = 36 miles.

Thus, the woman will have travelled 36 miles when they meet.