Multiple choice

Directions: In this problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question. Atul covered a distance of 600 km, partly by train and partly by bus. What was the speed of the train? I. Total travelling time was 8 hours. II. Distance covered by bus was 120 km. III. If he had travelled 80 km more by bus, the journey time would have increased by 20 minutes.

  1. All statements together

  2. Only statement I

  3. Only statements I and II

  4. Only statements I and III

  5. None of the statements
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let speed of train be T and bus be B. Distance = 600. I: T_time + B_time = 8. II: B_dist = 120, T_dist = 480. III: Relates change in time to change in distance. With all three, we have enough equations to solve for the variables.

AI explanation

All statements are needed to establish the specific individual times spent on the train and the bus. Statement I provides the total time of 8 hours. Statement II shows the bus distance is 120 km, meaning the train distance is 480 km. Statement III provides the relationship to find the exact speeds by revealing the time difference for traveling 80 km further by bus, which sets up a solvable system of equations. Therefore, all statements together are required.

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