taseem001
01.10.2021 •
Mathematics
What is the area of this sandbox?...
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Ответ:
6 hours.
Step-by-step explanation:
The formula sort of has to be invented.
Al
rate = 1 shed / 2 hours
Tom
rate = 1 shed / x hours.
Together.
rate = 1 shed / 1.5 hours.
Equation
1 shed / 2 hours + 1 shed / x hours = 1 shed / 1.5 hours.
1/2 + 1/x = 1/1.5 Put the fractions over a common denominator.
(x + 2) / 2x = 1 / 1.5 Cross Multiply
1.5(x + 2) = 2x Remove the Brackets.
1.5x + 3 = 2x Subtract 1.5x from both sides
3 = 2x - 1.5x
3 = 0.5x Multiply both sides by 2
6 = x
It would take Al 6 hours to do the shed on his own.