CAT 1999 — QA Question 43

Simple EquationsEasy

Passage / Data

Directions: Answer the questions based on the following information.
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.

The quantity of petrol consumed by Aditi for the journey is

Answer & solution

A
8.3 I
B
8.6 I
8.9 I
D
9.2 I

Solution

Distance between A and B = (35 × 2) + (45 × 2) = 160 km.
Distance covered by Aditi in each speed segment $= \frac{160}{3}$
Hence, total petrol consumed

$= (\frac{160}{3} \times \frac{1}{16}) + (\frac{160}{3} \times \frac{1}{24}) + (\frac{160}{3} \times \frac{1}{16}) = 8.9 l$

CAT 1999 QA Q43: The quantity of petrol consumed by Aditi for the journey is — Solution | TheCATExam