Multiple choice

Passage

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What is the time taken in the whole journey? I. Priyaprakash is going to cover a distance of 360 km from Jaipur to New Delhi. II. The first one-third of the distance is covered by a cycle, the second one-third is covered by an auto-rickshaw and the remaining distance is covered by a car. III. The average speed of the journey by car is 5 times the average speed by cycle and 20 km/hr more than the average speed by auto-rickshaw, but she took 1 hour more by auto-rickshaw than by car.

  1. Both II and III together are sufficient

  2. All I, II and III together are sufficient

  3. Both I and II together are sufficient

  4. Both I and III together are sufficient

  5. Both II and either I or III together are sufficient
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement I gives the total distance. Statement II defines the segments (1/3 each). Statement III provides the speed relationships and a time difference. To find the total time, we need the actual speeds, which are solvable using the system of equations provided by III combined with the distance from I and the segment breakdown from II.

AI explanation

Statement I provides the total distance of the journey as 360 km. Statement II divides the journey into three equal parts of 120 km each, travelled by cycle, auto-rickshaw, and car. Statement III provides the relative speeds of the vehicles (car speed is 5 times the cycle speed and 20 km/hr more than the auto-rickshaw) and the time difference between the auto-rickshaw and car journeys. To find the total time, all three statements must be used together to establish the distances and the equations needed to solve for the individual speeds of the cycle, auto-rickshaw, and car.

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