If a class XII student aged 17 years, rides his motorcycle at
 
 40 km/hr, the petrol cost is < 2 per km. If he rides at a speed of
 
 70 km/hr, the petrol cost increases to < 7 per km. He has
 
 < 100 to spend on petrol and wishes to cover the maximum
 
 distance within one hour.
 
 (a) Express the above as an LPP.
 
 (b) What are the benefits of driving a vehicle at a slow
 
 speed ?
 
 (c) Should a child below 18 years be allowed to drive a
 
 motorcycle ? Give reasons.