Let the speed of boat and current be x km/hr and y km/hr respectively. Downstream = (x + y) km/hr Upstream speed = (x – y) km/hr According to the question 3/(x – y) + 5/(x + y) = 55/60 = 11/12 4/(x – y) + 9/(x + y) = 1 + 25/60 = 17/12 Let 1/(x + y) = a and 1/(x – y) = b 3b + 5a = 11/12 ...1) 4b + 9a = 17/12 ...2) Multiply by 4 in equation (1) and multiply by 3 in equation (2) 12b + 20a = 11/3 ...3) 12b + 27a = 17/4 ...4) Subtract equation (3) from equation (4) 7a = 17/4 – 11/3 ⇒ 7a = 7/12 ⇒ a = 1/12 ⇒ x + y = 12 km/hr Speed of downstream = 12 km/hr ∴ Time taken to cover 43.2 km distance in downstream = 43.2/12 = 3.6 hr
Statements: R ≥ S > T; U < V ≤ T; V > W
Conclusions:
I. R > V
II. W < S
III. T > W
Statements: S @ O, O & E, E $ K, K # C
Conclusions: I. S @ K II. K @ O III. C @ E
...Which of the following expressions will be true if the given expression ′S > T ≥ U < V < W′ is definitely true?
Statement- 1 - 6#≥9#≥10#≤5#
2 - 7*≤10#˃5*≥6*
Conclusions:
1) 7* > 6*
2) 6* > 7*
3) 6# ≤ 5#<...
Statements: Z > R = K ≥ X = N ≥ Q, F < B ≤ Q
Conclusions:
I. X ≥ F
II. B ≤ K
III. R > F
Statements: Q ≥ R > U; R ≤ S; U ≥ B
Conclusions: I. U < Q II. S > B
...Relationship between different elements is shown in the statements. Find if the conclusions also follow or not.
Statements: J ≥ Q = W ≥ D <...
Statement: A = B ≥ C ≥ D < E < F ≥ G; D > H
Conclusion:
I. H ≥ G
II. A > H
...Which of the following symbols should be placed in the blank spaces, respectively ( in the same order from left to right ) in order to complete the give...
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...
