hour. He has to spend Rs 2 per km on petrol. If he rides it at a faster speed of 
hour, the petrol cost increases to Rs 3 per km. He has at most 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. hour. He has to spend Rs 2 per km on petrol. If he rides it at a faster speed of hour, the petrol cost increases to Rs 3 per km. He has at most 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.Solution:
Suppose the man covers 
on his motorcycle at the speed of 
and covers 
at the speed of and covers y 
at the speed of 
.
Therefore, cost of petrol 
The man has to spend Rs 120 atmost on petrol
Now, the man has only 
time
Therefore, 
And, 
To have maximum distance 
.
So, the required LPP to travel maximum distance is maximize , subject to the constraints
