Multiple choice

To complete a work A takes 50% more time than B .If together they take 18 days to complete the work how much time shall B take to do it? एक काम को पूरा करने में A, B से 50% अधिक समय लेता है। यदि वे एक साथ मिलकर काम को 18 दिनों में पूरा करते है, तो B इसको करने में कितना समय लेगा?

  1. 30 days/ दिन

  2. 35 days/ दिन

  3. 40 days/ दिन

  4. 45 days/ दिन
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A Correct answer
Explanation

If A takes 50% more time than B, let B take x days, then A takes 1.5x days. Their rates: B = 1/x work per day, A = 1/(1.5x) = 2/(3x) work per day. Combined rate = 1/x + 2/(3x) = 5/(3x). Together they take 18 days, so 5/(3x) = 1/18, giving x = 30 days for B alone.

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