Mohan can do a bit of work in 25 days which can be completed by Sohan in 20…
2023
Mohan can do a bit of work in 25 days which can be completed by Sohan in 20 days. Both together labour for 5 days and afterward Mohan leaves off. How long will Sohan take to complete the remaining work?
Answer: B. 11 days — Step 1: Mohan's work rate = 1/25 per day. Sohan's work rate = 1/20 per day. Step 2: Combined work rate = 1/25 + 1/20 = (4 + 5)/100 = 9/100 per day. Step 3:…
- A.
20 days
- B.
11 days
- C.
14 days
- D.
More than one of the above
- E.
None of the above
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Correct answer: B
Step 1: Mohan's work rate = 1/25 per day. Sohan's work rate = 1/20 per day.
Step 2: Combined work rate = 1/25 + 1/20 = (4 + 5)/100 = 9/100 per day.
Step 3: Work done in 5 days = 5 × 9/100 = 45/100 = 9/20.
Step 4: Remaining work = 1 - 9/20 = 11/20.
Step 5: Time for Sohan to complete remaining work = (11/20) / (1/20) = 11 days.
हिन्दी उत्तर:
चरण 1: मोहन की कार्य दर = 1/25 प्रति दिन। सोहन की कार्य दर = 1/20 प्रति दिन।
चरण 2: संयुक्त कार्य दर = 1/25 + 1/20 = (4 + 5)/100 = 9/100 प्रति दिन।
चरण 3: 5 दिनों में किया गया कार्य = 5 × 9/100 = 45/100 = 9/20।
चरण 4: शेष कार्य = 1 - 9/20 = 11/20।
चरण 5: शेष कार्य पूरा करने में सोहन को लगने वाला समय = (11/20) / (1/20) = 11 दिन।
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