Question
The speed of the boat A and B in still water are in the
ratio 15:13. The speed of the current for both boats is 16 km/hr. If the sum of time taken by boat A in downstream to travel 184 km and time taken by boat B to travel 40 km in upstream is 8 hours. Find the sum of the speed of boat A in upstream and B in downstream.Solution
Let the speed of the boats ‘A and ‘B’ in still water be ‘15x’ km/hr and ‘13x’ km/hr, repectively Speed of boat ‘A’ in downstream = (15x+16) km/hr Speed of boat ‘B’ in upstream = (13x-16) km/hr According to the question, {184/((15x+16) )}+{40/((13x-16) )} = 8 [23/(15x+16)] + [5/(13x-16)] = 1 23(13x-16) + 5(15x+16) = (15x+16)(13x-16) 299x - 368 + 75x + 80 = 195x2 - 240x + 208x - 256 374x - 288 = 195x2 - 32x - 256 195x2 - 406x - 32 = 0 on solving we get value, x=2 Speed of the boat A and B in still water is 30km/hr and 26 km/hr . Speed of boat A in upstream = 30-16 = 14 km/hr Speed of the boat B in downstream = 26+16 = 42 km/hr Required sum = 14km/hr +42 km/hr = 56 km/hr.
Statements: J $ K, K * T, T @ N, N © R
Conclusions:
 I. J $ T                  II.R * T               �...
Which of the following symbols should replace the sign ($) and (*) respectively in the given expression in order to make the expression E ≥ H and L >...
Statement: D < I < J = M = NÂ `>=` R > X
  Conclusion: I. J > X           II. D < N
...Statements: Q @ X % Y % W; Y $ O $ B
Conclusions:
I. Â X % B
II. Q @ W
III. O $ X
...Statements:
J $ R % U % C
Conclusions:
I. R © C
II. J * U
III. C % J
Statements: L < M > P ≥ Q; N > O > M
Conclusions:
I. N ≥ Q
II. O > L
III. L = QÂ
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...
Statements: I < P = S ≥ O > W < E≤ G ≥ A
Conclusion
I: O ≤ P
II: G > O
Statement:
N > I ≥ H > O; O ≤ J ≤ K < F; H > P < C; C = R < S;
Conclusion:
I. I > C
II. P < F
III. H < S
Statements: W ≤ T = R; T < U < S; X = W ≥ Y
Conclusions:
I. S > Y
II. W ≥ S
III. U ≥ Y
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