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# Boats and Streams Questions

Home > Quantitative Aptitude > Boats and Streams > General Questions
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The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?

A10 kmph

B21 kmph

C8 kmph

D12 kmph

Explanation:

d1/s1 d2/s2 = total time and d1=d2=6km
speed upstream s1= x-4
speed downstream s2= x+4
where x= speed of boat in still water

6/ (x-4) + 6/(x+4)=2

Solving the above equation we get x = 8, -2

So x=8kmph is the correct answer.

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12 / 38

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A man rows his boat 85 km downstream and 45 km upstream, taking 2 1/2 hours each time. Find the speed of the stream?

A5 kmph

B6 kmph

C7 kmph

D8 kmph

Explanation:

Boat speed in downstream = 85/(2 1/2) = 34 kmph
Boat Speed in upstream = 45/(2 1/2) = 18 kmph
so speed of the stream = (34 - 18)/2 = 8 kmph

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A man can row downstream at 18 kmph and upstream at 10 kmph. Find the speed of the man in still water and the speed of stream respectively?

A13, 3

B12, 6

C15, 3

D14, 4

ENone of these

Explanation:

Let's assume speed of the man in still water = x kmph.
and speed of stream = y kmph.
As per the question
x + y = 18 --- (1)
and x - y = 10 --- (2)
By solving (1) & (2)
2x = 28 => x = 14, y = 4.

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The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 60 metres?

A10 seconds

B15 seconds

C20 seconds

D12 seconds

ENone of these

Explanation:

Given Boat speed in still water = 15 kmph.
Speed of current = 3 kmph.
So Speed of the boat in downstream = 15 + 3 = 18 kmph = 18 * 5/18 = 5 m/s
So time Required to cover 60 meters = 60/5 = 12 seconds.

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A boat sails 15 km of a river towards upstream in 5 hours. How long will it take to cover the same distance downstream, if the speed of current is one-fourth the speed of the boat in still water:

A1.8h

B4h

C3h

D5h

ENone of these

Explanation:

Let's assume Boat speed in still water = x kmph
and current speed = y kmph.

so boat Upstream speed = (x-y) kmph

Boat Downstream speed = (x+y) kmph

as per the question
(x - y) = 15/5 = 3 km/h ---------------(1)

Given x= 4y (speed of current is 1/4 of boat speed in still water)

so form eq. (1 )
4y-y = 3 => y = 1 kmph so x= 4 km/h

So boat downstream speed (x+y) = 5km/h

=> Time required in downstream = 15/5 = 3h

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The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?

A12 kmph

B13 kmph

C14 kmph

D15 kmph

ENone of these

Explanation:

Given ratio of times taken by man for upstream and Downstream = 2:1
Ratio of the speed of the boat in still water to the speed of the stream = (2+1)/(2-1) = 3/1 = 3:1
So Speed of the stream = 42/3 = 14 kmph.

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A boat covers a certain distance downstream in 1 hour, while it comes back in 1 hours. If the speed of the stream be 3 kmph, what is the speed of the boat in still water?

A12 kmph

B13 kmph

C14 kmph

D15 kmph

Explanation:

Let the speed of the boat in still water be x kmph. Then,
Speed downstream = (x + 3) kmph, Speed upstream = (x - 3)kmph.
? (x + 3) * 1 = (x -3) * 3/2 ? 2x + 6 = 3x - 9 ? x = 15 kmph.

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A man rows to a place 48 km distance and back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:

A1 km/hr

B2.5 km/hr

C3 km/hr

D4 km/hr

Explanation:

Suppose he moves 4 km downstream in x hours. Then,
Speed downstream = [4/x] km/hr, Speed upstream = [3/x] km/hr.
? 48/(4+x) + 48/(3/x) = 14 or x = 1/2.
So, Speed downstream = 8 km/hr, Speed upstream = 6 km/hr.
Rate of the stream = 1/2 (8-6) km/hr = 1 km/hr.

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A boat takes 19 hours for travelling downstream fro poin A to point B and coming back to a point C midway between A and B. If the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between A and B?

A180 km

B190 km

C220 km

D230 km

Explanation:

Speed downstream = (14 + 4) km/hr = 18 km/hr;
Speed upstream = (14 - 4) km/hr = 10 km/hr.
Let the distance between A and B be x km. Then,
x/18 + (x/2)/10 = 19 ? x/18 + x/20 = 19 ? x = 180 km.

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A boat running upstream takes 8 hours 48 minutes to cover a certain distance, while it take 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and speed of the water current respectively?

A1:03

B3:08

C6:03

D8:03

ENone of these

Explanation:

Let the man rate upstream be x kmph and that downstream be y kmph. Then,
Distance covered upstream in 8 hrs 48 min. = Distance covered downstream in 4 hrs.
? [x 8 4/5] = (y * 4) ? 44/5 x = 4y ? y = 11/5 x.
? Required ratio = [y + x / 2] : [6x / 5 * 1/2] : [6x / 5 * 1/2]
= 8/5 : 3/5 = 8:3.

Workspace

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