SOLUTION: A conveyor belt moves boxes of fruit at the rate of two tonnes in five minutes, while a second conveyor belt moves boxes of fruit at the rate of three tonnes in seven minutes. How

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Question 783295: A conveyor belt moves boxes of fruit at the rate of two tonnes in five minutes, while a second conveyor belt moves boxes of fruit at the rate of three tonnes in seven minutes. How many minutes will it take to move 20 tonnes of fruit using both conveyor belts?
Answer by mananth(16946) About Me  (Show Source):
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A conveyor belt moves boxes of fruit at the rate of two tonnes in five minutes, while a second conveyor belt moves boxes of fruit at the rate of three tonnes in seven minutes. How many minutes will it take to move 20 tonnes of fruit using both conveyor belts?
Conveyor A = 2 tonnes in 5 minutes
it does 2/5 tonnes in 1 minute
Conveyor II = 3/7 tonnes in 1 minute
together they shift 2/5 + 3/7 tonnes in 1 minute
=(14+15)/35 in 1 minute
29/35 in 1 minute
20 in how many minutes
20 /(29/35)
24.1 minutes