Multiple choice

Direction: The following question has two statements, (1) and (2). Answer the question using the following options: What is the speed of a jeep? (1) The jeep is faster than a Car by 10 km/h. (2) The car took two hours more than the jeep to cover 100 km.

  1. if statement (1) alone is sufficient but statement (2) alone is not

  2. if statement (2) alone is sufficient but statement (1) alone is not

  3. if both (1) and (2) together are sufficient but none of them alone is sufficient

  4. if both independently are sufficient

  5. if both statements (1) and (2) together are not sufficient
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let speed of car be v, jeep be v+10. (100/v) - (100/(v+10)) = 2. This equation allows solving for v. Neither statement alone provides enough info to solve for v without the other.

AI explanation

Let the jeep's speed be J km/h and the car's speed be C km/h; statement (1) gives the equation J equals C plus 10. Using the distance formula time equals distance divided by speed, statement (2) provides the equation 100 divided by C equals 100 divided by J plus 2. Substituting the first equation into the second gives 100 divided by C equals 100 divided by the quantity C plus 10, plus 2, which can be solved as a quadratic equation to find the exact speeds. Therefore, both statements together are necessary to find the jeep's speed.

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