Question
Two efficient workers or three non-efficient workers can
complete a certain task in 20 days. If each efficient worker improves their efficiency by 33(1/3)% and each non-efficient worker reduces their efficiency by 50%, how long will it take for a team of two efficient workers and two non-efficient workers, under these new conditions, to finish the same task?Solution
Let the efficiencies of an efficient worker and a non-efficient worker be 'x' units/day and 'y' units/day respectively. ATQ, 2x X 20 = 3y X 20 Or, x:y = 3:2 Let x = 3a and y = 2a So, total work = 2 X 3a X 20 = 120a units Increased efficiency of an efficient worker = 3a X (4/3) = 4a units/day Decreased efficiency of a non-efficient worker = 2a X (1/2) = 'a' unit/day Therefore, required time = 120a ÷ (2 X 4a + 2 X a) = (120a ÷ 10a) = 12 days
In the question, assume the given statements to be true. Find which of the following conclusion(s) among the three conclusions is/ are definitely true ...
Statements: Y < X ≥ B < V; A < L ≤ K; R ≤ F ≤ O < X; V ≤ K
Conclusions:
I. R < K
II. A < B
III. Y < F
Statements : C ≤ A < B ≤ D; E < B > F > G; I < H < G
Conclusions :
I. B > I
II. D > H
III. H < B
Statements: 21 < 51 = 71 ≤ 61 < 11; 32 < 81 ≤ 91 =51
Conclusions:
I. 11 > 81
II. 21 > 32
III. 32 ≥ 21
Statements: V < P ≤ F = Y, Y < O ≤ J < SÂ
Conclusions:
I. V ≤ O
II. F < J
III. S > P
Statements:Q ≥ R,R < S,S < T
Conclusions: I. T > R II. Q ≥ T
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is/are definitely true and th...
Statement: A > B < D = E < C < F > G ≥ J; D > H
Conclusions:
I. A > H
II. F > H
III. D > F
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and t...
In the question, assuming the given statements to be true, find which of the conclusion (s) among given two conclusions is /are definitely true and the...