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A boat travels 64 km in 16 hours in favo...

A boat travels 64 km in 16 hours in favor of the current and 24 km in 8 hours against the current of the river. Find the velocity of the boat in steady water and the velocity of the current with the help of graph.

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Express the following statements in the form of simultaneous linear equations and solve them by drawing graphs : (iv) A boat travels 56 km in 4 hours in favour of the current and 48 km in 8 hours against the current. Find the velocity of the boat in steady water and the velocity of the current.

A boatsman can travel by his boat a distance of 30 kilometres in 6 hours in favour of the current . While he comes back in 10 hours against the current . Find the velocity of the current and the velocity of the boat in still water.

A person travels by boat 5 kilometres in 1 hour in still water. The time he requires to travel 40 kilometres against the current is 3 times the time he requires to travel the same distance in favour of the current . Find the velocity of the current .

A boat takes 6 h to travel some distance along the current on a river. It takes 10 h to travel the same distance against the current. Find out the time taken by the boat to travel that distance in the absence of any current.

A boatman can row 7 km down a river and back in 4(2)/(3) hours. If the river runs at the rate of 2 km per hour, find the rate of the pull in still water.

CALCUTTA BOOK HOUSE-GRAPHS-EXAMPLES Lone-answer type questions
  1. Draw the graph of the equation x=4,y=3 and 3x+4y=12 . Also, find the a...

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  2. Draw the graph of y=(x+2)/(3), Find the value of y where x=-2 from the...

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  3. Solve : (3x-1)/(2)=(2x+6)/(3) by drawing its graph.

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  4. At a present your uncle is elder than you by 16 years. After 8 years, ...

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  5. A boat travels 64 km in 16 hours in favor of the current and 24 km in ...

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  6. (a) Find the value of t if the point (4,t^2-4t+4) lie on the x-axis.

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  7. (b) For what value of t the point (t^2-(2+sqrt3)t+2sqrt3,8) lie on the...

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  8. (a) Find the equation of the straight line parallel to the x-axis and ...

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  9. (b) Find the equation of the straight line parallel to the y-axis and ...

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  10. (a) Determine the value of a if the straight line ax+7y=3(a-2) passes ...

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  11. (b) Determine the value of a if the straight line 2x+ay=10(a-30) passe...

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  12. (a) Determine the co-ordinates of the point on the straight line 2x-3y...

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  13. (b) Determine the co-ordinates of the point on the straight line 11x-...

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  14. (a) Find the polar co-ordinates of a point Cartesian co-ordinates are ...

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  15. (b) Find the Cartesian co-ordinates of a point whose polar co-ordinate...

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  16. (a) Transfer the equation x^2+y^2=2ax Cartesian co-ordinates into an e...

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  17. (b) Transfer the equation r=a cos theta of polar co-ordinates into an ...

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  18. If the values C and R denote the temperature in Centigrade and Romer s...

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  19. If the values C and R denote the temperature in Centigrade and Romer s...

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  20. Determine the area of the plane region formed by the graph of the equa...

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