A conveyer belt delivers baggage at the rate of 3 tons in 5 minutes, and a second conveyer belt delivers baggage at the rate of 1 ton in 2 minutes. How much time will it take to get 33 tons of baggage delivered using both the conveyer belts?
- A25 minutes and 30 seconds
- B30 minutesCorrect
- C35 minutes
- D40 minutes and 45 seconds
Explanation
To solve this problem, we first determine the rate of each conveyer belt per minute.
The first belt delivers 3 tons in 5 minutes, which is a rate of 3 divided by 5, or 0.6 tons per minute.
The second belt delivers 1 ton in 2 minutes, which is a rate of 1 divided by 2, or 0.5 tons per minute.
When both belts work together, their combined rate is 0.6 plus 0.5, which equals 1.1 tons per minute.
To find the time required to deliver 33 tons, we divide the total weight by the combined rate. 33 divided by 1.1 equals 30.
Therefore, it will take 30 minutes to deliver 33 tons of baggage. The correct option is B.
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