Question

A conveyor belt moves bottles at a constant speed of 120 centimeters per second. If the conveyor belt moves a bottle from a loading dock to an unloading dock, is the distance that the conveyor belt moves the bottle less than 90 meters? (1 meter = 100 centimeters)
(1) It takes the conveyor belt less than 1.2 minutes to move the bottle from the loading dock to the unloading dock.
(2) It takes the conveyor belt more than 1.1 minutes to move the bottle from the loading dock to the unloading dock.

• A. Statement (1) alone is sufficient, but statement (2) alone is not sufficient.
• B. Statement (2) alone is sufficient, but statement (1) alone is not sufficient.
• C. Both statements together are sufficient, but neither statement alone is sufficient.
• D. Each statement alone is sufficient.
• E. Statements (1) and (2) together are not sufficient.

Answer 1

The correct option is A Statement (1) alone is sufficient, but statement (2) alone is not sufficient.

1.2 mi is (60+12)=72 sec

Thus, we know that the conveyor belt spent LESS than 72 seconds moving each bottle. Thus, the distance that each bottle was moved was LESS than ... (72 seconds)(1.2 meters/second) = 86.4 meters

(1 1/10)(60) = 60 + 6 = 66 seconds
(66 seconds)(1.2 meters/second) = MORE than 79.2 meters .

Hence, Option A is correct.