a motorcyclist makes full observations: if he rides at a speed of 70km/hr he has to spend Rs 25 per km on petrol whereas if he rides a bit slower at the speed of 50km/hr then he has to spend Rs 5 lesser on petrol . but he has Rs 1000 to spend on petrol and he wishes to cover maximum distance within an hour. formulate this as LPP and solve it graphically to find maximum distance travelled
Answers
Answer:
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Answer:
It is clear that distance to be cover by motorcycle to meet the available money is 50 km .
Step-by-step explanation:
Given as :
The speed of motorcycle = S = 70 km/h
The money spend on petrol = Rs 25 per km
Time to travel = 1 hour
∵ Distance = speed × time
i.e Distance = 70 km/h × 1 h
∴ Distance = 70 km
So, money spend on petrol for 70 km = Rs 25 per km × 70 km
i.e money spend on petrol for 70 km = Rs 1750
Again
The speed of motorcycle = s = 50 km/h
The money spend on petrol = Rs 25 - Rs 5 per km = Rs 20 per km
∵ Distance = speed × time
i.e Distance = 50 km/h × 1 h
∴ Distance = 50 km
So, money spend on petrol for 50 km = Rs 20 per km × 50 km
i.e money spend on petrol for 50 km = Rs 1000
According to question , total money available with rider is Rs 1000
So, It is clear that distance to be cover by motorcycle to meet the available money = 50 km
Hence, It is clear that distance to be cover by motorcycle to meet the available money is 50 km . Answer