Rajiv reaches city B from city A in 4 hours, driving at speed of 35 kmph for the first two hour and at 45 kmph for the next two hours. Aditi follows the same route, but drives at three different speeds: 30, 40 and 50 kmph, covering an equal distance in each speed segment. The two cars are similar with petrol consumption characteristics (km per litre) shown in the figure below.
Q.
Zoheb
would like to drive Aditi's
car over the same route from A to B and minimize the petrol consumption for the
trip. What is the quantity of petrol required by him?
a. 6.67L
b. 7L
c. 6.33 L
d. 6.0L
To minimize the petrol consumption, he must travel at 40kmph constantly through out the 160 km.
Total
petrol consumed = 160 /24= 6.67 litres.
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