If a man rides his motor cycle at 25 km/hr, he has to spend Rs 2 per km on petrol, if he rides at a faster speed of 40 km/hr, the petrol cost increases to Rs 5 perkm. He has Rs 100 to spend on petrol and wishes to find maximum distance he can travel within one hour. Express this as a linear programming problem and then solve it graphically.

A man rides his motorcylcle at the speed of 50 km/hour. He has to spend Rs.2 per km on petrol. If the rides it as a faster speed of 80 km/hour, the petrol cost increases to Rs.3 per km. he has atmost Rs.120 to spend on petrol and one hour's time, He wishes to find the maximum distance that he can travel Express this problem as a linear programming problem and solve it graphically to find the maximum distance he can travel.

A dealer in rural area wishes to purchase a number of sewing machines. He has only Rs 5670 to invest and has a space for at most 20 items. An electronic sewing machine costs him Rs 360 and manually operated sewing machine Rs 240. He can sell electronic sewing machine at a profit of Rs 22 and a manually operated sewing machine at a profit of Rs 18. Assumning that he can sell all the items that he can buy, how should he invest his money in order to maximize his profit. Make it a linear programming problem and solve it graphically. Keeping the rural background in mind justify the values to be promoted for the selection of the manually operated machine.

A man would be 5 minutes late to reach his destination if he rides his bike at 30 km per hour.But he would be 10 minutes early if he rides at the speed of 40 km per hour.What is the distance of his destination from where he starts?

A taxi- driver filled his car petrol tank with 40 litres of petrol on Mondy.The next day,he filled the tank with 50 litres of petrol.If the petrol costs Rs.44 per litre,how much did he spend in all on petrol?

A man has to walk a certain distance. He finds that if he walked 1/4 of a km an hour faster he will take 20 minutes less, but if he walks 1/2 km an hour slower he will take 52 minutes more. Find the distance and his rate of walking.