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Let the speed of boat in still water be x km/hr and the distance be y km. Rate downstream = (x + 3.5) km/hr Rate upstream = (x – 3.5) km/hr According to the question, y/(x + 3.5) = 2 --- (i) y/(x – 3.5) = 5/2 --- (ii) On dividing equation (i) by (ii), (x – 3.5)/(x + 3.5) = 2/(5/2) = 4/5 5x – 16.5 = 4x + 15 x = 16.5 + 15 = 31.5 kmph
A coin is tossed successively three times. Find the probability of getting exactly one tail or two tails?
In a bag there are a total of 60 fruits. The average of the number of apples and mangoes in the bag is equal to the number of bananas in the bag. The ra...
A box contains only three colors of balls- red, green and blue. What is the minimum number of balls that should be picked from the box to ensure that at...
A box contains 6 Brown and 8 Blue caps. There is another box which contains 8 Brown and 7 Blue caps. One cap is to drawn from either of the two boxes. ...
A bag contains 14 black and 16 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
One summer peter visits 4 villages (A, B, C and D) in a random order. Find the probability that he visits (i) A before B (ii) A before B and B before C ...
What is the probability that four A’s come consecutively in the word ‘AMALGAMATION’
A box contains 5 red, 6 green and 3 yellow balls. 2 balls are drawn at random. What is the probability that they are not of the same colour?
In a box there are 3 pink, 5 black, and 9 yellow flowers. One flower is picked up randomly. What is the probability that it is neither pink nor black? <...
If a coin is tossed 10 times then what is the probability of getting three heads?
