Multiple choice

At 8:00 am, a boy starts from point P, at a speed of 40 mph, to go to point Q. At 10:00 am, a man starts from point P, to make the same journey. He passes the boy at a distance of 200 miles from point P. Quantity A Quantity B Speed of the man 80 mph

  1. Quantity A is greater.

  2. Quantity B is greater.

  3. The two quantities are equal.

  4. The relationship cannot be determined from the information given.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Boy travels for 2 hours (8am to 10am) at 40 mph = 80 miles. Distance remaining = 200 - 80 = 120 miles. Man covers 120 miles in the same time the boy covers 120 miles. Boy time = 120 / 40 = 3 hours. Man speed = 120 / 3 = 40 mph. Quantity A (40) < Quantity B (80).

AI explanation

The boy travels for 5 hours to reach 200 miles, since he started at 8:00 am and was met at 200 miles at 1:00 pm. The man also travels for 3 hours to cover the same 200 miles, since he started at 10:00 am. Using the formula Speed equals Distance divided by Time, the man's speed is 200 divided by 3, which is 66.67 mph. Quantity A is 66.67 mph and Quantity B is 80 mph, making Quantity B greater.

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