A and B can do a work in 10 days and 40 days, respectively. How long will it take together to complete the work?
A and B can do a work in 10 days and 40 days, respectively. How long will it take together to complete the work?
A और B क्रमशः 10 दिन और 40 दिन में एक कार्य पूरा कर सकते हैं। यदि वे साथ मिलकर काम करें, तो उसे पूरा करने में कितना समय लगेगा?
Detailed Solution & Logic
Correct Answer:
8 days/ 8 दिन
A can complete the work in 10 days ⇒ work rate of A = $1/10$ per day
B can complete the work in 40 days ⇒ work rate of B = $1/40$ per day
Together their work rate =
$1/10 + 1/40 = 4/40 + 1/40 = 5/40 = 1/8$
So, together they complete the work in 8 days.
Final Answer / अंतिम उत्तर: ✅ 8 days / 8 दिन
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