If a young man drives his vehicle 25 km/hr he has to spend Rs. 2 per km on petrol. If he drives it at faster speed of 40 km/hr, the petrol cost increases to Rs. 5 per km. He has Rs. 100 to spend on petrol and travel within one hour. The maximum distance he travels is :
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 30 km
Objective fn = x+ y if he travels
$2x+5y≤100$
$\frac{x}{25}+\frac{y}{40}≤1,x,y≥0$
x kms at 25
y kms at 40
checking at corner points
$Z_A=20$
$Z_C=30$ → Maximum distance
$Z_E=25$