exam Maths Puzzle

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

Read Solution (Total 1)

xpenses 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.
9 years agoHelpfull: Yes(0) No(0)

exam Other Question

A can build up a structure in 8 days and B can break it is 3 days. A has worked for 4 days and then B joined to work with A for another 2 days only. In how many days will A alone build up the remaining part of the structure?

A.

10

B.

9

C.

12

D.

None of these .

A, B and C, can complete a piece of work individually in 15, 30 and 40 days respectively. They started the work together and the A and B let 2 days and 4 days before the completion of the work respectively. In how many days was the work completed?

A.

10
13
15

B.

12

C.

15

D.

10
2
15