**Boats and Streams**

**Boats and
Streams-aptitude-questions-answers-basics**

**Boats and Streams Aptitude
basics, practice questions, answers and explanations **

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**Boats and Streams **

The water of a stream, usually, keeps
flowing at a certain speed, in a particular direction. This speed is called the
current of the stream. A boat develops speed because of its engine power. The
speed with which it travels when there is no current is called speed of boat in
still water. When the boat moves in the direction of the current is said to be
with the stream/ current or downstream. When the boat moves in the direction
opposite to that of the current, it is said to be against the stream is called
upstream.

Eg:-If the speed of a boat in still
water is ?u?km/hr and the speed of the stream is ?v?km/hr then:

* Speed downstream=(u+v)km/hr

* Speed upstream = (u-v)km/hr

If the speed downstream is u km/hr and
the speed upstream is v km/hr, then:

* Speed of boat in still water =
?(u+v)km/hr

* Speed (Rate) of stream = ?
(u-v)km/hr

**Examples **

a) A man can row a boat 12 km/h with the
stream and 8km/h against the stream.

Find his speed in still water.

a) 2km/hr

b) 4km/hr

c) 8km/hr

d) 10km/hr

**Solution: Speed of boat in still water =
?(u+v) km/hr = ? (12+8)=10km/hr**

b) A man can row a boat 27km/h with the
stream and 11km/h against the stream.

Find speed of stream

a) 2km/hr

b)4km/hr

c)8km/hr

d)10km/hr

**Solution: Speed (Rate) of stream = ? (u-v)
km/hr = ? (27-11)=8km/hr**

c) A boat running downstream covers a
distance of 16km in 2 hours while for covering the same distance upstream, it
takes 4 hours. What is the speed of the boat in still water?

a)4km/hr

b)6km/hr

c)8km/hr

d) None of these

**Rate of downstream=(16/2 ) kmph=8kmph**

Rate of upstream =(16/4) kmph=4kmph

Therefore Speed in still water=1/2(8+4) kmph=6kmph

**Note: I**f ratio of
downstream and upstream speeds of a boat is ?a:b.?

Then ratio of time taken= b:a

Speed of stream=a-b/a+b *Speed in still
water

Speed in still water =a+b/a-b *Speed of
stream

**Exercise Questions**

1. A man rows downstream 32 km and 14km
upstream. If he takes 6 hours to cover each distance, then the velocity (in
kmph) of the current is:

a)1/2

b)1

c)1and ?

d)2

**Solution: Rate downstream=(32/6)kmph; Rate
upstream=(14/6)kmph**

Velocity of current=1/2(32/6-14/6)kmph=3/2kmph=1.5kmph

2. In one hour, a boat goes 11km along
the stream and 5km against the stream.

The speed of the boat in still water (in
km/hr)is:

a)3

b)5

c)8

d)9

**Solution: Speed in still
water=1/2(11+5)kmph=8kmph**

3. Speed of a boat in still water is
16km/h. If it can travel 20km downstream in the same time as it can travel 12
km upstream, the rate of stream is.

a)1km/h

b)2km/h

c)4km/h

d)5km/h

**Solution: Speed downstream: Speed
upstream=20:12=5:3**

**Speed of current=5-3/5+3*16=4km/h**