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A man has to spend Rs.16 per km on petr...

A man has to spend Rs.16 per km on petrol if he rides his motor-car at 30 km per hour and the cost on petrol rises to Rs.20 per km if he rides his car at 45 km per hour. He has Rs.200 to spend on petrol and desires to travel maximum distance within 2 hours. Formulate the given data in the form of inequations and show graphically the region representing the solution of the inequations.

Text Solution

Verified by Experts

The correct Answer is:
`4x+5yle50,x/2+y/3le30,xge0,yge0` where x km and y km are distances travelled with speed 30 km per hour and 45 km per hour respectively.
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