Multiple choice

A does 60% of a work in 45 days. He then calls B, and they together finish the remaining work in 18 days. How long B alone would take to do the whole work? A 45 दिनों में एक काम का 60% करता है । उसके बाद वह B को बुलाता है और वे एक साथ 18 दिनों में शेष काम को समाप्त कर देते हैं। अकेले B पूरे काम करने के लिए कितना समय लगाएगा ?

  1. 120.5 days / दिन

  2. 118.5 days / दिन

  3. 125 days / दिन

  4. 112.5 day / दिन
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D Correct answer
Explanation

A does 60% of work in 45 days, so A's rate = 60%/45 = 4/3% per day. For full work, A needs 100% ÷ (4/3%) = 75 days. Remaining 40% is finished by A+B in 18 days, so their combined rate = 40%/18 = 20/9% per day. B's rate = combined - A's rate = 20/9 - 4/3 = 8/9% per day. B alone needs 100% ÷ (8/9%) = 112.5 days.

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