Formulate the following problems as a pair of equation,and hence find their solutions: (i) Ritu can row downstream 20 km in 2 hours,and upstream 4 km in 2 hours.Find her speed of rowing in still water and the speed of the current.

Formulate the following problems as a pair of equation,and hence find their solutions:(ii) 2 women and 5 men can together finish an embroidery work in 4 days,while 3 women and 6 men can finish it in 3 days.Find the time taken by 1 woman alone to finish the work,and also that taken by 1 man alone.

Work Problem related to the form A/(ax+by)+B/(cx+dy)=k A boat goes 30 km upstream and 44 km downstream in 10 hours. It can go 40 km upstream and 55 km downstream in 13 hours. Find the speed of the boat in still water and speed of the stream.

Work Problem related to the form A/(ax+by)+B/(cx+dy)=k A motorboat takes 6 hours to cover 100 km downstream and 30 km back. If the motorboat goes 75 km downstream and returns back to its starting point in 8 hours, find the speed of the motorboat in still water and speed of the stream.

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method:Places A and B are 100km apart on a highway.One car starts from A and another from B at the same time.If the car travel in the direction at different speeds,they meet in 5 hours.If they travel towared each other,they meet in 1 hour .What are the speeds of the two cars?

Form the pair of linear equations for the following problems and find their solutions by substitution method.(v)A fraction becomes 9/11,if 2 is added to both the numerator and the denominator.If 3 is added to both the numerator and the denominator it becomes 5/6.Find the fraction.

Form the pair of linear equations in the following problems,and find their solution graphically.(i)10 students of class X took part in a Mathematics quiz.If the number of girls is 4 more than the number of boys,find the number of boys and girls who took part in the quiz.

Form the pair of linear equations in the following problems,and find their solutions(if they exist) by the elimination method:(i)If we add 1 to the numerator and subtract 1 from the denominator a fraction reduces to 1.It becomes 1/2 if we only add 1 to the denominator.What is the fraction?

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method:(i) A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess.When a student A takes food for 20 days she has to pay Rs 1000 as hostel charges whereas a student B,who takes food for 26 days,pays Rs 1180 as hostel charges.Find the fixed charges and the cost of food per day.

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method:The area of rectangle gets reduced by 9 square units,if its length is reduced by 5 units and breadth is increased by 3 units.If we increase the length by 3 units and the breadth by 2 units,the ares increases by 67 square units.Find the dimensions of the rectangle.

Form the pair of linear equations for the following problems and find their solutions by substitution method. (iv)The taxi charges in a city consist of a fixed charge together with the charge for the distance covered.For a distance of 10 km,the charge paid is ₹105 and for a journey of 15 km,the charge paid is ₹155 .What are the fixed charges and the charges per kilometer? How much does a person have to pay for travelling a distance of 25 km?