A person on tour has $ 360 for his daily expenses. If he exceeds his tour programme by 4 days he must cut down his daily expenses by $ 3 per day. Find the number of days of his tour programme.

A person is trying to push a box, the whole day he makes use of his stored energy but cannot move it. In physics we say he has not done any work. Explain why?

A fruit vendor buys some oranges at the rate of Rs 5 per orange. He also buys an equal number of bananans at the rate of Rs 2 per banana. He makes a 20% profit on orange and a 15% profit on bananas. At the end of the day, all the fruit is sold out. His total profit is Rs 390. Find the number of oranges purchased.

A water tank has steps inside it. A monkey is sitting on the topmost step(i.e., the first step). The water level is at the ninth step. If the number of steps moved down is represented by negative integers and the number of steps moved up by positive integers, represent his moves in part (i) and (ii) by completing the following, (a) -3+2 -..= -8 (b) 4-2+...= 8. In (a) the sum (-8) represents going down by eight steps. So, what will the sum 8 in (b) represent?

A water tank has steps inside it . A monkey is sitting on the top most step (i.e . The first step).The water level is at the ninth step . If the number of steps moved down is represented by negative integers and the number of steps moved up by positive integers , represents his moves in part (i) and (ii) by completing the following (a) -3+2-.....=-8 (b) 4-2+.....=8 . In (a) the sum (-8) represents going down by eight steps .So what will the sum 8 in (b) represent?

A tourist with 300, calculating that he could spend $ x everyday on his holidays. He spent $ {x + 10) per day and had nothing left 5 days before the end of his holidays. Calculate 'x'.

Ashish studies for 4 hours, 5 hours and 3 hours respectively on three consecutive days. How many hours does he study daily on an average?

From the pair of linear equations in the following problems and find their solutions (if they exist) by elimination method : A part of monthly hostel charges in a college are fixed and remaining depend on number of days one has taken food in the mess. When a student A takes food for 20 days, he has to pay rs 1000 as hostel charges whereas student B who takes food for 26 days has to pay rs 1180 as hostel charges. Find fixed charges and cost of food per day.

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.