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UGC-NET-Paper1

Maths

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A man can do a work in 10 days. The man along with a boy can do the same work in 8 days. What is the ratio of efficiencies of work of the man and the boy?

1. 2:1
2. 3:1
3. 4:1
4. 5:1

एक आदमी एक काम को 10 दिन में कर सकता है। वह आदमी एक लड़के के साथ मिलकर उसी काम को 8 दिन में कर सकता है। आदमी और लड़के की कार्यकुशलता का अनुपात क्या है?

1. 2:1
2. 3:1
3. 4:1
4. 5:1
This Question came in
UGC-NET-Management-09-January-2025-Shift-2-Q17
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Detailed Explanation & Answer
### Given:
Man alone completes work in 10 days → Work rate = 1/10
Man + Boy together complete work in 8 days → Work rate = 1/8

### Equation:
1/10 + Boy’s rate = 1/8
Boy’s rate = 1/8 - 1/10
= (10 - 8) / 80
= 2/80
= 1/40

### Efficiency Ratio:
Man’s rate : Boy’s rate = (1/10) : (1/40)
= 4:1

### Answer:
**(3) 4:1**
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