Concept explainers
To find the total time to take when both conveyor belt used at the same time.
Answer to Problem 6P
The total time to take when both conveyor belt used at the same time is
Explanation of Solution
Given Old conveyor belt take total time to move one day's output coal is 21hr.
New conveyor belt take total time to move one day's output coal is 15hr.
Work done by old conveyor belt in one hour is
Work done by pump A in
Similarly
Work done new conveyor belt in one hour is
Work done by new conveyor belt in
Suppose total work done by both pump is 1
Express the equation of work done together
Multiply both the sides by 315, the LCM of 21 and 15
Apply distribute property
Simplify
Hence, The total time to take empty the ship by both pump is
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Algebra and Trigonometry: Structure and Method, Book 2
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