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.

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.

A motor boat whose speed in still water 9km/hr takes three hours to go 12km dowm stream and come back.Find Speed of the stream.

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.

A motor boat whose speed in still water 15km/hr takes half an hour more to go 18km up stream than to returns dowm stream to the same spot.Find Speed of the stream.

A motor boat whose speed in still water 18km/hr takes 1 hour more to go 24km up stream than to returns dowm stream to the same spot.Find Speed of the stream.

Work Problem related to speed, distance and time The ratio of the speed A to B is 2:3 . If A takes 3 hours more then B to cover 30km . Find the speed of A and B.

The maximum speed of a train is 90 km/h. It takes 10 hours to cover a distance of 500 km. Find the ratio of its average speed to maximum speed?

Work Problem related to speed, distance and time Places A and B are 70km apart on a highway. A car starts from A and another car start from B at the same time. If they travel in the same direction they meet in seven hours but if they travel towards each other meet in one hour. What are their speed.

Work Problem related to speed, distance and time Two places A and B are at distance 160km . Two cars starting form tha same place and moving in the same direction meet after eight hours. Again moving in the oppoosite directions from A to B. The cars meet each other after one hour. Find the speed of the cars.

Represent the following situations in the form of quadratic equations:(iv)A train travels a distance of 480 km at a uniform speed.If the speed had ben 8 km/h less,then it would have taken 3 hours more to cover the same distance.We need to find the speed of the train.