Aasheesh can paint his doll in 20 minutes and his sister Chinki can do so in 25 minutes. The paint the doll together for five minutes. At this juncture they have a quarrel and Chinki withdraws from painting In how many minutes will Aasheesh finish the painting of the remaining doll?

Three spraying machines working together can finish painting a house in 60 minutes. How long will it take for 5 machines of the same capacity to do the same job?

If it takes h hours to paint a rectangular will that is x feet wide and y feet long, how many minutes does if take to paint 1 square foot of the bulletin board?

A can do a piece of work in 25 days and B can finish it in 20 days. They work together for 5 days and then A goes away. In how many days will B finish the remaining work ?

If Johnny can mow the lawn in 30 minutes and with the help of his brother, Bobby, they can mow the lawn 20 minutes, how long would it take Bobby working along to mow the lawn?

Using a riding lawnmower, Je can cut his lawn in 45 minutes. Using a push power, Joe's son can cut the lawn in 3 hours. If they work together, how long will it take them to cut the lawn?

Two hoses attached to separate water sources are available to fill a cyindrical swimming pool. If both hoses are used , the time it will take to fill the pool can be represented by the following equation : (1)/(T _(1))+(1)/(T_(2))=(1)/(T_(c)) , where T_(1) and T_(2) represent the time needed for hoses 1 and 2 , respectively , to fill the pool on their own , and T_(c) represents the time needed for hoses 1 and 2 to fill the pool working together . IF hose 1 alone can fill the pool in exactly 20 minutes and hose 2 alone can fill the pool in exactly 60 minutes , how many minutes will it take to fill the pool if both hoses work simultaneously ?

A factory manufactures two types of screws, A and B, each type requiring the use of two machines, an automatic and a hand-operated. It takes 4 minutes on the automatic and 6 minutes on hand-operated machines to manufacture a packet of screws 'A', while it takes 6 minutes on the automatic and 3 minutes on the hand-operated machines to manufacture a packet of screws 'B'. Each machine is available for at the most 4 hours on any day. The manufacturer can sell a packet of screws 'A' at a profit of 70 paise and screws 'B' at a profit of Rs. 1. Assuming that he can sell all the screws he manufactures, how many packets of each type should the factory owner produce in a day in order to maximise his profit ? Formulate the above L.P.P. and solve it graphically and find the maximum profit.

A factory manufactures two types of screws, A and B. Each type of screw requires the use of two machines, an automatic and a hand operated. It takes 4 minutes on the automatic and 6 minutes on hand operated machines to manufacture a package of screws A, while it takes 6 minutes on automatic and 3 minutes on the hand operated machines to manufacture a package of screws B. Each machine is available for at the most 4 hours on any day. The manufacturer can sell a package of screws A at a profit of 70 paise and screws B at a profit of Rs 1. Assuming that he can sell all the screws he manufactures, how many packages of each type should the factory owner produce in a day in order to maximise his profit? Formulate the above LPP and solve it graphically and determine the maximum profit.

A factory manufactures two types of screws, A and B. Each type of screw requires the use of two machines, an automatic and a hand operated. It takes 4 minutes on the automatic and 6 minutes on hand operated machines to manufacture a package of screws A, while it takes 6 minutes on automatic and 3 minutes on the hand operated machines to manufacture a package of screws B. Each machine is available for at the most 4 hours on any day. The manufacturer can sell a package of screws A at a profit of 70 paise and screws B at a profit of Rs 1. Assuming that he can sell all the screws he manufactures, how many packages of each type should the factory owner produce in a day in order to maximise his profit? Formulate the above LPP and solve it graphically and determine the maximum profit.

Formulate the following problems as a pair of equations, 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. (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. (iii) Roohi travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and the remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.