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19 May 2022 : Time and Work

A, B and C together can complete certain work in 24 days. A and C together work twice as much as B while A and B together works four times the as much as C, then A alone can do the same work in

OPtion

1) 72 days
2) 120 days
3) 48 days
4) 30 days
5) 36 days
6) 180/7 days
7) 360/7 days
8) 90/7 days
9) 270/7 days
10) None of these

Solution

Let A, B and C can do the work in a, b and c days respectively.
Then, 1 day's work of A, B & C = 1/a + 1/b + 1/c = 1/24 ----(i)
1/a + 1/c = 2/b ----(ii)
1/a + 1/b = 4/c ----(iii)
Now subtracting (ii) from (i), we get 1/b = 1/72
Similarly subtracting (iii) from (i), we get 1/c = 1/120
Substituting values of 1/b and 1/c in (i), 1/a = 7/360
.'. A alone can do the work in 360/7 days.
Correct Option 7)

Correct Option: 7 Best Solution (1)

Best user's solution

G.S.Kantharao

A+C=2B
A+B=4C
A+B+C=1/24
3B=1/24
B=1/72
Now 4C+C=1/24
C=1/120
A=1/24 -1/72 -1/120=7/360
So A can do in 360/7d
My option is 7👈

Is this solution helpfull? Yes (2) | No