Multiple choice

Directions: The problem contains a question and two statements giving certain data. You have to select the correct answer from the given options depending on the sufficiency of the data given in the statements to answer the question. Two cars pass each other in opposite directions. How long would they take to be 500 km apart? (A) The sum of their speeds is 135 kmph. (B) The difference of their speeds is 25 kmph.

  1. Statement (A) by itself is sufficient to answer the question, but statement (B) by itself is not sufficient to answer the question.

  2. Statement (B) by itself is sufficient to answer the question, but statement (A) by itself is not sufficient to answer the question.

  3. Both statements (A) and (B) together are sufficient to answer the question, but neither statement by itself is sufficient to answer the question.

  4. The two statements, even when taken together, are not sufficient to answer the question.

  5. Each statement alone is sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

To find the time taken to be 500 km apart, we need the relative speed of the two cars. Statement (A) provides the sum of their speeds, which is the relative speed when moving in opposite directions. Statement (B) provides the difference, which is insufficient without knowing the individual speeds or the sum.

AI explanation

When two objects move in opposite directions, their relative speed is the sum of their individual speeds. Statement A provides this sum as 135 kmph, so the time to be 500 km apart is calculated as 500 divided by 135 hours. Statement B only gives the difference in their speeds, which cannot determine their combined speed, making statement A alone sufficient.

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