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Rajiv reaches city B from city A in 4 hours, driving at the speed of 3

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Bunuel
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Rajiv reaches city B from city A in 4 hours, driving at the speed of 3 [#permalink] New post   09 Jan 2020, 03:17
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Question Stats:

63% (03:29) correct 37% (03:20) wrong based on 59 sessions
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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


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2020-01-09_1413.png
2020-01-09_1413.png [ 23.82 KiB | Viewed 8962 times ]
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Bunuel
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Re: Rajiv reaches city B from city A in 4 hours, driving at the speed of 3 [#permalink] New post   09 Jan 2020, 03:17
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Bunuel wrote:
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


Show Spoiler
Attachment:
2020-01-09_1413.png


TWIN QUESTION: https://gmatclub.com/forum/rajiv-reache ... 14033.html
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Re: Rajiv reaches city B from city A in 4 hours, driving at the speed of 3 [#permalink] New post   09 Jan 2020, 03:37
Bunuel wrote:
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


Show Spoiler
Attachment:
2020-01-09_1413.png


Explanation:

Distance between A & B = 35*2 + 45* 2 =160 km

Distance covered by Aditi in each speed segment = 160/3
petrol consumed by Aditi when he drives at 30kmph= 160/3∗1/16
petrol consumed by Aditi when he drives at 40kmph= 160/3∗1/24
petrol consumed by Aditi when he drives at 50kmph=160/3∗1/16


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
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Rajiv reaches city B from city A in 4 hours, driving at the speed of 3 [#permalink] New post   27 Jan 2020, 21:53
rajatchopra1994 wrote:
Bunuel wrote:
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


Show Spoiler
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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Re: Rajiv reaches city B from city A in 4 hours, driving at the speed of 3 [#permalink] New post   28 May 2021, 13:44
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Re: Rajiv reaches city B from city A in 4 hours, driving at the speed of 3 [#permalink]
28 May 2021, 13:44
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