Question
A and B together can complete a work in 15 days, while B
and C together can complete the same work in 20 days. If A, B, and C together can complete the work in 12 days, how many days will B take to complete the work alone?Solution
Let the work done by A in 1 day be A, by B in 1 day be B, and by C in 1 day be C. A + B can complete the work in 15 days → A + B = 1/15 B + C can complete the work in 20 days → B + C = 1/20 A + B + C can complete the work in 12 days → A + B + C = 1/12 Next, subtract (B + C) from (A + B + C): (A + B + C) - (B + C) = 1/12 - 1/20 A = 1/12 - 1/20 = (5 - 3)/60 = 2/60 = 1/30 So, A’s rate of work = 1/30. Now, from (A + B) = 1/15, we know that A + B = 1/15. Substitute A = 1/30: 1/30 + B = 1/15 B = 1/15 - 1/30 = 2/30 - 1/30 = 1/30 Therefore, B alone can complete the work in 30 days. Correct option: c
Answer the questions based on the information given below.
A & B means A is greater than B
A * B means A is not greater than B
A ...
Statements: M % N, N & A, A @ B, B # C
Conclusions: I. C & AÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. M # B
...Statements: R > S > T ≥ U; Q ≥ R; W = V < U
Conclusions:
I. S > Q
II. W < T
III. Q > W
In the following question the relationship between different elements is given in the statements followed by three conclusions I, II and III. Read the...
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 ...
Statements:
N < P ≤ I = O; P ≥ J ≥ K ≥ W; Z ≤ M ≤ W
Conclusions:
I) O > Z
II) O = Z
...Statements: M $ K; K & N, N % R, R @ W
Conclusions:Â Â Â Â Â
I. W & KÂ Â Â Â Â Â Â Â
II. K & WÂ Â Â Â Â Â Â Â Â Â Â Â ...
Statements: I ≥ E = S > J < N > V > Q ≤ O
Conclusion
I: I > S
II: Q < N
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...
Statements: F > V > W ≥ L > G; F ≤ O = M < I
Conclusions: I. M > LÂ Â Â II. V < I
