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.

1 answer

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.

Answer:The distance that the conveyor belt moves the bottle is less than 90 metersStep-by-step explanation:Speed of the conveyor belt120 cm/sTime it takes to move the conveyor belt less than 1.2 minutes to move the bottle from the loading dock to the unloading dock.But 60s = 1 minuteThis gives1.2 minutes = 1.2×60s seconds = 72 secondsBut speed = distance/timeso that distance = speed × time = 120cm/s ×(<72s)From where distance = <8640cm<90m (90m×100=9000cm)Time it takes to move the conveyor belt more than 1.1 minutes to move the bottle from the loading dock to the unloading dock.Again 60s = 1 minuteThis gives1.1 minutes = 1.1×60s seconds = 66 seconds Time it takes is more than 66sBut speed = distance/timeso that distance = speed × time = 120cm/s × (>66s)From where distance >7920cm However7920cm < 90m (90m×100=9000cm)So thatThe distance that the conveyor belt moves the bottle is less than 90 meters

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