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 woman's 4 miles per hour, how far will the woman have travelled when they meet?
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 woman's 4 miles per hour, how far will the woman have travelled when they meet?
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Since both travel for the same time, split the 81 miles in the ratio of their speeds, 5:4.
Updated On: Jul 15, 2026
- 27
- 36
- 45
- None of these
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Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Find the relative speed.
Since they move toward each other, their speeds add: \(5+4=9\) miles per hour.
Step 2: Find the time to meet.
Time \(=\dfrac{\text{distance}}{\text{relative speed}}=\dfrac{81}{9}=9\) hours.
Step 3: Find the woman's distance.
Distance covered by the woman \(=\text{her speed} \times \text{time} = 4 \times 9 = 36\) miles.
Step 4: Final Answer.
The woman travels 36 miles, so option B is correct.
Since they move toward each other, their speeds add: \(5+4=9\) miles per hour.
Step 2: Find the time to meet.
Time \(=\dfrac{\text{distance}}{\text{relative speed}}=\dfrac{81}{9}=9\) hours.
Step 3: Find the woman's distance.
Distance covered by the woman \(=\text{her speed} \times \text{time} = 4 \times 9 = 36\) miles.
Step 4: Final Answer.
The woman travels 36 miles, so option B is correct.
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