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Q.

$A$ and $B$ borrowed a tractor for 23 days. $A$ ploughed 12 acres per day for a certain number of days and then Bused it to plough 15 acres per day for the remaining days. If they paid Rs 3,000 and Rs 2,000 respectively, for how many days did $A$ use the tractor?

 A.

12

 B.

15

 C.

16

 D.

18

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Solution:
Option(B) is correct

Expenses proportional to (Number of acres ploughed per day) (Number of days).

Assuming $A$ used the tractor for '$d$' days, the ratio of $A$'s to $B$'s expenditure is:

$⇒ 12d:(23−d)15$

This is given to be equal to $3000:2000$ or $3:2$

Thus, $12d:(23−d)15=3:2$

Thus $d=15$.

Therefore $A$'s used the tractor for 15 days.


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