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Bunuel
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rajatchopra1994
Bunuel
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.

The amount of petrol consumed by Aditi for the journey is

(A) 8.3 litres
(B) 8.6 litres
(C) 8.9 litres
(D) 9.2 litres
(E) 9.2 litres


Attachment:
2020-01-09_1413.png

Explanation:


The quantity of petrol consumed by Aditi for the journey is=

160/3∗1/16 +160/3∗1/24 +160/3∗1/16 =8.91

IMO-C

Awesome solution just a small calculation correction:

\(\frac{160}{3}* \frac{1}{16}+\frac{160}{3}* \frac{1}{24}+\frac{160}{3}* \frac{1}{16} = 8.88 \approx 8.9\)
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