Question

If a farmer can plough 2 fields in 6 days, then how many fields can he plough in 15 days?

A
8 fields
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B
5 fields
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C
6 fields
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D
3 fields
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Solution

The correct option is B 5 fields Given: In 6 days, 2 fields are ploughed. ​ We know that the number of fields ploughed will be more if the farmer works for more days. ​ So, Number of days is directly proportional to Number of fields ploughed​ Let number of days be ‘n’ and number of fields ploughed be ‘f’​ Then, n is directly proportional to f​ ⇒n1f1=n2f2 Here,​ n1=6 days​ f1=2 fields​ n2=15 days​ f2= number of fields ploughed in 12 days ​ 62=15f2 f2=(15×2)6=5 fields​ So, 5 fields can be ploughed in 15 days.​ ​ Answer: (B) 5 fields

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