A man can row a distance of 5 km in 60 min with the help of the tide. The direction of the tide reverses with the same speed. Now he travels a further 20 km in 10 hours. How much time he would have saved if the direction of tide has not changed?
man row 5 km in 60 min (1hr)
=> 5=(u+v)*1 ---------(1)
Further 20 km in 10 hrs.
=> 20=(u-v)*10 -------(2)
By solving eq. (1) & (2)
u=7/2
v=3/2
Therfore,
=> 20=(u+v)*t
=> 20=(3/2 + 7/2)*t => t=4hr
Hence, time saved = 6 hr.
Workspace
NA
SHSTTON
6
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13
Solv. In. Corr.
19
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A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?
upstream speed = 2km/h
downstream speed = 6km/h
speed in still water = 1/2(6+2) = 4km/h
so to cover 5 km 75 minutes or 1h15m requires.
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31
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56
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87
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In a stream running at 2 kmph,a motar boat goes 6 km upstream and back again to the starting point in 33 minutes. Find the speed of the motarboat in still water.
a) A boat travels 300m up stream in 15 minutes
b)Its speed down stream is 8/5 times its speed upstream
Which of the options provide the correct realationship between speed of current and speed of
In 15 mins boat travels 300 mtr
So, in 60 mins=(300*4)=1200mtr
So, (u-v)=1200
Thus we get (u+v)=1920
Sloving this two equation we get u=1560 and v=360
Now (v:u)=360:1560=3:13
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NA
SHSTTON
13
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4
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17
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If a man rows at the rate of 6 kmph in still water and his rate aginst the current is 4.5 kmph, then the man’s rate along the current is:
Let the rate along the current be x kmph.
Then, (x + 4.5)/2 = 6 .
.'. x = 7.5.
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NA
SHSTTON
11
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9
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20
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The speed of a boat in still water is 10 km/hr. The stream has a current of 2km/hr. The boat takes 2 hours more to cover a trip from A to B than it took to go from B to A. What is the distance between A and B?
Speed of boat=10,speed of stream=2,time=2 hr
Let distance be x
(x/(10-2))-(x/(10+2))=2
x/8-x/12=2
x=48 km
Workspace
NA
SHSTTON
1
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10
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11
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A man travels by a motor boat down a river to his office and back. With the speed of the river unchanged, if he doubles the speed of his motor boat, then his total travel time gets reduced by 75%. The ratio of the original speed of the motor boat to the speed of the river is
A man travels by a motor boat down a river to his office and back. With the speed of the river unchanged, if he doubles the speed of his motor boat, then his total travel time gets reduced by 75%. The ratio of the original speed of the motor boat to the speed of the river is
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