A and B undertook a work for Rs. 11,500. When they worked together A got Rs. 2,300 less than B and

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23 Jun 2022 Time and Work

A and B undertook a work for Rs. 11,500. When they worked together A got Rs. 2,300 less than B and A takes 7 days more than B, when they work individually. In how many days A and B working together can do the whole work ?

OPtion

1) 7⅗
2) 6⅓
3) 10½
4) 7⅘
5) 9⅔
6) 8⅖
7) 7⅓
8) 5⅓
9) 10⅖
10) None of these

Solution

Let A got Rs. x, then B Rs. (x+2300), then x + (x+2300)=11500
⇒ x=4600
Thus A got Rs. 4600 and B Rs. 6900 according to their share in work.
.'. Efficiency of A and B = 4600 : 6900 = 2 : 3
Ratio of number of days to complete the work by A and B = 1/2 : 1/3 = 3 : 2
Given, A takes 7 days more than B, so 3a - 2a=7 ⇒ a=7
Thus individually A takes 21 days and B takes 14 days
1 day's work of A and B = 1/21 + 1/14 = 5/42
Hence, A and B together can complete the work in 42/5 = 8⅖ days.

Correct Option: 6 Best Solution (1)

G.S.Kantharao   2 years AGO

Total Income =₹11500
Incomes of A and B =₹4,600,₹6900
Working time of
A:B=3:2
But 3:2=x+7:x
3x=2x+14=>x=14
A can alone do in 21days,B
alone can do in 14 days.
They together can do in 1 day=1/21 + 1/14=5/42
They can complete it in 42/5=8 and 2/5 days.
My option is 6👈

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