If Anil does 40% of certain work and Sunil the remaining, it takes 41 days to complete the work but

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31 Aug 2022 Time and Work

If Anil does 40% of certain work and Sunil the remaining, it takes 41 days to complete the work but when Sunil does 65% of the same work and Anil the remaining, it takes 41½ days to finish the work. Anil is more efficient than Sunil by

OPtion

1) 14.28%
2) 44.44%
3) 57.14%
4) 66.66%
5) 33.33%
6) 22.22%
7) 71.43%
8) 28.57%
9) 38.89%
10) None of these

Solution

Working individually, let Anil and Sunil takes x and y days respectively.
Then Anil's 1 day work=1/x and Sunil's 1 day work=1/y
As per given conditions: (40/100) / (1/x) + (60/100) / (1/y) = 41
⇒ 2x + 3y = 205 ---(i)
And (65/100) / (1/y) + (35/100) / (1/x) = 83/2
⇒ 7x + 13y = 830 ---(ii)
Solving Eqn (i) & (ii), we get x=35, y=45
Efficiency of work of Anil and Sunil = 1/35 : 1/45 = 9 : 7
.'. % Anil is more efficient than Sunil = [(9-7)/7]*100 = 28.57%
Correct Option 8)

Correct Option: 8 Best Solution (2)

Dr.Dipin Singh   1 year AGO

If their per day work is x and y respectively, then
0.4/x +0.6/y=41
0.35/x+ 0.65/y =41.5
Solving these equations, we get
x/y = 1.2857
Which means
x is 28.57 % more than y.

Like? Yes (2) | No   

RAMADURAI NATESAN   1 year AGO

let A take a days to complere work alone and
S.. b days ............................................. Given:
0.4a + 0.6b=41 AND 0.35a + 0.65b = 41.5 .Solving ,
a = 35 and b = 45.Anil can do 1/35 0f work in 1 day and
Sunil 1/45. 45/35 = 1.2857. Anil is 28.57 % more efficient

Like? Yes (1) | No