Directions: The following problem has a question and three statements labelled A, B and C. You have to determine which of the statements is/are sufficient to answer the question and then mark your answer accordingly. What is the time taken by Gaurav to reach home? A. If Gaurav increases his speed by 40%, it will take him 4 minutes less to reach home. B. If Gaurav decreases his speed by 30%, it will take him 6 minutes more to reach home. C. The speed of Gaurav is 10 km/hr.

Let the distance be D, the original speed be S, and the original time be T, so D equals S times T. From statement A, increasing the speed by 40 percent makes the new speed 1.4 S, so the new time is D divided by 1.4 S, which equals T divided by 1.4; since this is 4 minutes less than T, you can solve for T. From statement B, decreasing the speed by 30 percent makes the new speed 0.7 S, so the new time is D divided by 0.7 S, which equals T divided by 0.7; since this is 6 minutes more than T, you can also solve for T. Therefore, each of the statements A and B alone is sufficient to find the original time.

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