Bunuel wrote:
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.
Kudos for a correct solution.
Given : Speed ; 120 Cm per sec.
Target question : is the distance that the conveyor belt moves the bottle less than 90 meters? (1 meter = 100 centimeters)
Statement 1(1) It takes the conveyor belt less than 1.2 minutes to move the bottle from the loading dock to the unloading dock
Lets convert the time from Min to seconds . 1.2 min = 1.2*60 = 72 seconds
So we have time = 72 sec . We have Speed = 120 Cms per sec therfore distance = speed* time = 72*120 = 8640 Cm per sec
Target question is the distance that the conveyor belt moves the bottle less than 90 meters? (1 meter = 100 centimeters)
So lets convert the Distance into Meters per sec by dividing
8640/100 = 86.4 Mper sec . Therefore we know the distance covered is less than 90 m yes Sufficient'
(2) It takes the conveyor belt more than 1.1 minutes to move the bottle from the loading dock to the unloading dock.
Given : Speed ; 120 Cm per sec.
Target question : is the distance that the conveyor belt moves the bottle less than 90 meters? (1 meter = 100 centimeters)
Here time taken is more than 1.1 minutes ....
We already checked for 1.2 minutes which is more than 1.1 min there the distance was 86.4 Mper sec which is less than 90
If time taken was 1.8 minutes would mea more than 90 metres. Hence Insufficient.
Time 1.8*60 = 108 sec Given : Speed ; 120 Cm per sec. = distance = 120*108 =12960 cm per sec
or 12960/100 = 129.6 which is more than 90. Cant ans with certainity therefore not sufficient
Ans A