Question
Train 'E' leaves at 9:00 PM on Wednesday from Kolkata
station and reaches Bangalore station at 11:00 AM the next day, while train 'F' leaves at 8:30 PM on Wednesday from Bangalore station and reaches Kolkata station at 7:30 AM the next day. Find the time at which the two trains meet each other.Solution
ATQ, Let the speed of the train 'E' and train 'F' be 'x' km/h, and 'y' km/h, respectively. For train 'E', from 9:00 PM to 11:00 AM next day: Total time = 14 hours Similarly, for train 'F' From 8:30 PM to 7:30 AM next day: Total time = 11 hours ATQ: Total distance between Kolkata and Bangalore = 14 X x = 11 X y Or, (x/y) = (11/14) Or, (x/y) = (11/14) Therefore, x = 11:14 Let the speed of train 'E' and train 'F' be '11a' km/h, and '14a' km/h, respectively. Distance travelled by train 'E' in 30 minutes = 11a X (30/60) = '5.5a' km Remaining distance between train 'E' and train 'F' when train 'F' started = 14 X 11a - '5.5a' = 148.5a km We know that, When two objects moving in opposite direction, then their relative speed = Sum of their individual speed Required time taken to meet = 148.5a / 25a = 5.94 hrs Time at which the trains will meet = 5.94 hours after train 'F' started = 2:24 AM next day
In each of the questions below are given some statements followed by two conclusions. You have to take the given statements to be true even if they see...
Statements: J > M < C ≤ S < Q = K > N
ConclusionÂ
I. J ≥ S
II. N > M
In which of the following expressions will the expression ‘M ≥ N ' and ‘Q < O’ be definitely true?
Statements:Â Â Â Â Â Â T @ V % Z #Â C & B $ SÂ # E; W $ Z @ C
Conclusions :Â Â Â Â Â I. E @ ZÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. S # WÂ Â Â ...
Statements: I = E ≥ A; L ≥ K ≥ B ≥ M ≥ E
Conclusions:
I. B ≥ I
II. I < L
III. K ≥ A
Statements: P ≥ F < H; F > V ≥ G = M
Conclusions:
I. P > M
II. H ≤ V
III. H > P
...Statement: Q > R; O < K ≤ N; O ≥ S > R
Conclusion: I. O ≥ Q     II. R < N.
Statements: E = L ≤ G < I = H; E ≥ N < A; W ≥ P ≥ M > I
Conclusions:
I. E < W
II. A ≥ M
III. N < P
In which of the following expressions will the expression ‘S > Y’ and ‘R > Y be definitely true?
Statements: O @ G % N & A @ I % P; V $ U & Q # A
Conclusions:
I. N @ U
II. G % V
III. V # I
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