A conveyor belt moves bottles at a constant speed of 120

[BTGmoderatorLU]

Source: Official Guide

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.

The OA is A

[GMATGuruNY]

Source: Official Guide

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.

Given rate: 120 centimeters per second.
Since the statements are in terms of MINUTES, calculate the number of minutes required to move the bottle 90 meters:
90 meters * (100 centimeters)/(1 meter) * (1 second)/(120 centimeters) * (1 minute)/(60 seconds) = (90)/(12*6) = 15/12 = 5/4 = 1.25 minutes

In the conversion above, all of the colored units CANCEL OUT, yielding a result in terms of minutes.
Implication of the yielded result:
For the bottle to be moved 90 meters, the time = 1.25 minutes.
Thus, for the bottle to be moved LESS THAN 90 METERS, the time must be LESS THAN 1.25 MINUTES.
Question stem, rephrased:
Is t < 1.25?

Statement 1:
Since t < 1.2, the answer to the rephrased question stem is YES.
SUFFICIENT.

Statement 2:
If t = 1.2, the answer to the rephrased question stem is YES.
If t = 1.3, the answer to the rephrased question stem is NO.
INSUFFICIENT.

The correct answer is A.

[deloitte247]

Speed = 120 cm/s
Is the distance that the conveyor belt move less than 90 meters (9000 cm)
D = speed * Time

Statement 1
It takes the conveyor belt less than 1.2 min to move to the bottle from the loading dock to the unloading dock.

T = 1.2 * 60 =72 sec
T<72 sec
Therefore D < 120 * 72 = 8640 m
Statement 1 is SUFFICIENT.

Statement 2
It takes the conveyors belt more than 1.1 minutes to move from the bottle from the loading dock to the unloading dock.
T = 1.1 * 60 = 66 secs
T > 66 s
Therefore, D > 120 * 66 = 7920 cm
D can be any value greater than 7920 cm
D can be = 8,000 cm
D can be = 10,000 cm
Information given is not enough to arrive at a definite answer
Statement 1 alone is SUFFICIENT.

$$Answer\ is\ option\ A$$

[Scott@TargetTestPrep]

Source: Official Guide

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.

The OA is A

Solution:

Question Stem Analysis:

We need to determine whether the distance the conveyor belt moves the bottle is less than 90 meters.

Statement One Alone:

Since it takes the conveyor belt less than 1.2 minutes to move the bottle from the loading dock to the unloading dock, the distance the conveyor belt moves the bottle is less than 120 x (1.2 x 60) = 120 x 72 = 8640 cm, or 86.4 meters. Since the distance is less than 86.4 meters, it’s less than 90 meters. Statement one alone is sufficient.

Statement Two Alone:

Since it takes the conveyor belt more than 1.1 minutes to move the bottle from the loading dock to the unloading dock, the distance the conveyor belt moves the bottle is more than 120 x (1.1 x 60) = 120 x 66 = 7920 cm or 79.2 meters. Since it’s more than 79.2 meters, it could be less than 90 meters (e.g., 80 meters) or more than 90 meters (e.g., 100 meters). Statement two alone is not sufficient.

Answer: A