Question
The boat's speed in still water
is 20% greater than the speed of the stream. If it takes the boat 4 hours more to travel 176 km downstream than it does to travel 8 km upstream, what is the time required for the boat to travel 264 km downstream and 16 km upstream?Solution
ATQ, Let the speed of the stream be 'a' km/hr Therefore, speed of the boat in still water = 1.20 × a = '1.2a' km/hr Downstream speed of the boat = 1.2a + a = '2.2a' km/hr Upstream speed of the boat = 1.2a - a = '0.2a' km/hr According to the question, (176/2.2a) - (8/0.2a) = 4 Or, (80/a) - (40/a) = 4 Or, 4a = 40 Or, 'a' = (40/4) = 10 Therefore, downstream speed of the boat = 2.2a = 2.2 × 10 = 22 km/hr Upstream speed of the boat = 0.2a = 0.2 × 10 = 2 km/hr Required time taken = (264/22) + (16/2) = 12 + 8 = 20 hours
Statements:
L ≥ M = N < P; O < Q ≥ R =S ≥ L
Conclusions:
I). Q > M
II). Q = N
Which of the following symbols should replace the question mark in the given expression, in order to make the expressions K < I as well as 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...
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 then ...
Which of the following symbols should replace (1) and (2) respectively in the given expression in order to make the expression N > P definitely true?
Statements: B < C ≥ D; T < G ≥ E; E < C
Conclusions:
I. T < C
II. C > G
III. E < D
Statement: N = P ≤ Q; R ≥ Q < U
Conclusions: I. N < U II. R ≥ N
...Statements: T @ A % S $ L © JÂ
Conclusions:Â
 I. T % LÂ
II. T $ LÂ
III. S # J
Statements: M = N ≤ P = C > G, D ≥ M > T = F
Conclusion:
I. D ≥ N
II. N > F
III. F < P
Statements: Z > R = K ≥ X = N ≥ Q, F < B ≤ Q
Conclusions:
I. X ≥ F
II. B ≤ K
III. R > F
