Ashmit, Bhuwan, and Chandar can complete a piece of work in 15, 20, and 30 days respectively. Working together, in how many days can they complete the work?
अश्मित, भुवन और चंदर किसी काम को क्रमशः 15, 20 और 30 दिनों में पूरा कर सकते हैं। एक साथ काम करते हुए, वे कितने दिनों में काम पूरा कर सकते हैं?
Answer और ExplanationAnswer and explanation
Answer: (C) 20/3 days
कुल कार्य = LCM(15, 20, 30) = 60 units
अश्मित = 6015 = 4, भुवन = 6020 = 3, चंदर = 6030 = 2 units/day
मिलकर = 4 + 3 + 2 = 9 units/day
समय = 609 = 203 दिन
✓
वे काम 203 दिनों में पूरा करेंगे।
Total work = LCM(15, 20, 30) = 60 units
Ashmit = 6015 = 4, Bhuwan = 6020 = 3, Chandar = 6030 = 2 units/day
Together = 4 + 3 + 2 = 9 units/day
Time = 609 = 203 days
✓
They complete the work in 203 days.
SMART APPROACH
तुरंत जाँच: मिलकर समय 15 दिन (अश्मित अकेले) से कम होना चाहिए। 60 units पर रोज़ 4 + 3 + 2 = 9 units ⇒ 609 = 203 = 623 दिन।
Quick check: together they must take less than 15 days (Ashmit alone). 4 + 3 + 2 = 9 units a day on 60 units ⇒ 609 = 203 = 623 days.
Source: DP HCM · 09 Jan 2026 · Shift 2। Solution: Prashant Sir, Vijayastra।Source: DP HCM · 09 Jan 2026 · Shift 2. Solution by Prashant Sir, from Vijayastra.