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Q:

A motorboat takes half time to cover a certain distance downstream than upstream. What is the ratio between rate of current and rate of boat in still water?

A) 1 : 3	B) 3 : 2
C) 2 : 3	D) 3 : 1

Answer & Explanation Answer: A) 1 : 3

Explanation:

Let the speed of the boat in still water is 'w'

Speed of the current is 'c'

Let the distance between two places is 'd'

According to the question, motorboat takes half time to cover a certain distance downstream than upstream.

$\frac{d}{w + c} = \frac{1}{2} (\frac{d}{w - c})$

=> 2w - 2c = w + c

=> w = 3c

=> c : w = 1 : 3

Hence, the ratio between rate of current(c) and rate of boat in still water(w) = 1 : 3

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Filed Under: Boats and Streams
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Q:

Round as a Dishpan, Deep as a Tub and Still the Oceans could not fill it up. What is it?

A) Bath Tub	B) A plug hole
C) Sieve	D) None

Answer & Explanation Answer: C) Sieve

Explanation:

Sieve.

A utensil consisting of a wire or plastic mesh held in a frame, used for straining solids from liquids.

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Filed Under: Word Puzzles
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Q:

A milkman claims to sell milk at its cost price, still, he is making a profit of 30% since he has mixed some amount of water in the milk. What is the % of milk in the mixture?

A) 71.02%	B) 76.92%
C) 63.22%	D) 86.42%

Answer & Explanation Answer: B) 76.92%

Explanation:

Let the milk he bought is 1000 ml

Let C.P of 1000 ml is Rs. 100

Here let he is mixing K ml of water

He is getting 30% profit

=> Now, the selling price is also Rs. 100 for 1000 ml

=> 100 : K%

= 100 : 30

10 : 3 is ratio of milk to water

=> Percentage of milk = 10 x 100/13 = 1000/13 = 76.92%

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Filed Under: Alligation or Mixture
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Q:

In one hour, a boat goes 12 km/hr along the stream and 6 km/hr against the stream. The speed of the boat in still water (in km/hr) is:

A) 9	B) 8
C) 7	D) 7.5

Answer & Explanation Answer: A) 9

Explanation:

Speed in still water = Average of Speed in Upstream and speed in Downstream

= 1/2 (12 + 6) kmph = 9 kmph.

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Q:

A boat whose speed in still water is 9 kmph, goes 12 km downstream and comes back in 3 hrs. Find the speed of the stream?

A) 1 kmph	B) 3 kmph
C) 5 kmph	D) 4 kmph

Answer & Explanation Answer: B) 3 kmph

Explanation:

Let the speed of the stream = x kmph

From the given data,

$\frac{12}{9 + x} + \frac{12}{9 - x} = 3 h r s$

$3 x^{2} = 27$

=> x = 3 kmph

Therefore, the speed of the stream = 3 kmph

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Filed Under: Boats and Streams
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Q:

A man reads 3/7 of a book on a day and 2/5 of the remaining, on the second day. If the number of pages still unread are 36, how many pages did the book contain ?

A) 105	B) 101
C) 98	D) 109

Answer & Explanation Answer: A) 105

Explanation:

Let number of pages in a book = p

According to questions

p - [3p/7 + (2/5 x 4p/7)] = 36

= p - 23p/35 = 36

=> 12p = 36 × 35

p = 105

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Filed Under: Percentage
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Q:

A man can row 8 kmh in still water. If the river is running at 2 kmh, it takes 4 hrs more upstream than to go downstream for the same distance. Then the distance is given by

A) 54 kms	B) 32 kms
C) 45 kms	D) 60 kms

Answer & Explanation Answer: D) 60 kms

Explanation:

Let the distance be d.

$\frac{d}{8 - 2} - \frac{d}{8 + 2} = 4$

=> 2d = 120

=> d = 60 kms.

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Q:

A person can row 8 1/2 km an hour in still water and he finds that it takes him twice as long to row up as to row down the river. The speed of the stream ?

A) 1.78 kmph	B) 2.35 kmph
C) 2.83 kmph	D) 3.15 kmph

Answer & Explanation Answer: C) 2.83 kmph

Explanation:

Given speed of the person = 8 1/2 = 17/2 kmph
Let the speed of the stream = x kmph
speed of upstream = 17/2 - x
speed of downstream = 17/2 + x
But given that,
2(17/2 - x) = 17/2 + x
=> 3x = 17/2
=> x = 2.83 kmph.

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Filed Under: Boats and Streams
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