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 ?

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Submitted by examrobotsa on

Q: 141 (IAS/2001)
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 ?

question_subject: 

Maths

question_exam: 

IAS

stats: 

0,11,7,4,11,2,1

keywords: 

{'second conveyer belt': [0, 0, 1, 0], 'conveyer belt': [0, 0, 1, 0], 'conveyer belts': [0, 0, 1, 0], 'baggage': [0, 0, 1, 0], 'minutes': [0, 0, 1, 1], 'ton': [0, 0, 1, 4], 'seconds': [3, 3, 8, 6], 'rate': [2, 3, 13, 20]}

To find the total time it takes to deliver 33 tons of baggage using both conveyor belts, we need to determine how much baggage each belt delivers per minute and then calculate the combined time.

The first conveyor belt delivers 3 tons in 5 minutes. We can find its rate by dividing the amount delivered by the time taken: 3 tons / 5 minutes = 0.6 tons/minute.

The second conveyor belt delivers 1 ton in 2 minutes. Its rate can be calculated as 1 ton / 2 minutes = 0.5 tons/minute.

To find the combined rate of both conveyor belts, we add their individual rates: 0.6 tons/minute + 0.5 tons/minute = 1.1 tons/minute.

Now, to determine the time it takes to deliver 33 tons using the combined rate, we divide the total amount by the rate: 33 tons / 1.1 tons/minute = 30 minutes.

Therefore, it will take 30 minutes to deliver 33 tons of baggage using both conveyor belts.