Instructions

DIRECTIONS for the following questions: These questions are based on the situation given below: Rajiv reaches city B from city A in 4 hours, driving at the speed of 35 km per hour for the first 2 hours and at 45 km per hour for the next two hours. Aditi follows the same route, but drives at three different speeds: 30, 40 and 50 km per hour, 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.

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Question 51

# The amount of petrol consumed by Aditi for the journey is

Solution

Total distance = 35*2 + 45*2 = 160 km

Distance traveled by Aditi at each constant speed value = $$\frac{160}{3}$$

Total petrol consumed by Aditi = $$\frac{160/3}{16}$$ + $$\frac{160/3}{24}$$ + $$\frac{160/3}{16}$$ = $$\frac{10}{3}$$ + $$\frac{20}{9}$$ + $$\frac{10}{3}$$ = 6.67 + 2.22 = 8.9 litres

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