Multiple choice

Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following answer choices: Quantity A = A boat rows upstream 16 km and downstream 27 km talking 5 hours each time. What is the velocity of current? Quantity B = A boat moves downstream at the rate of one km in 7(1/2) minutes and upstream at the rate of 5 km an hour. What is the velocity of current?

  1. Quantity A is greater than Quantity B

  2. Quantity B is greater than Quantity A

  3. Quantity B is greater or equal to Quantity A

  4. Quantity A is greater or equal to Quantity B

  5. Both are equal or the relationship cannot be determined from the information given
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Quantity A: Upstream speed = 16/5 = 3.2 km/h. Downstream speed = 27/5 = 5.4 km/h. Current = (5.4 - 3.2)/2 = 1.1 km/h. Quantity B: Downstream speed = 1 km / (7.5/60) h = 8 km/h. Upstream speed = 5 km/h. Current = (8 - 5)/2 = 1.5 km/h. Since 1.5 > 1.1, B is greater.

AI explanation

For Quantity A, the downstream speed is 27 divided by 5, which equals 5.4 km/hr, and the upstream speed is 16 divided by 5, which equals 3.2 km/hr. The velocity of the current is (5.4 minus 3.2) divided by 2, which equals 1.1 km/hr. For Quantity B, 7 and a half minutes is 0.125 hours, making the downstream speed 1 divided by 0.125, which equals 8 km/hr. Using the upstream speed of 5 km/hr, the velocity of the current is (8 minus 5) divided by 2, which equals 1.5 km/hr. Since 1.5 km/hr is greater than 1.1 km/hr, Quantity B is greater than Quantity A.

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