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guajiro [1.7K]
3 years ago
15

Working alone, Ryan can dig a 10 ft by 10 ft hole in five hours. Castel can dig the same hole in six hours. How long will it tak

e them if they worked together?
Explain too please, thanks.
Mathematics
2 answers:
grandymaker [24]3 years ago
4 0
<span>x/5+x/6=1
6x+5x=30
11x=30
x=30/11
x=2 8/30 =2 8/30 hours
8/30 hr=16 minutes

2 hours 16 minutes.
Hope this helped.
</span>
aleksley [76]3 years ago
3 0

.
Rates:
Ryan: 1 hole per 5 hours
Castel: 1 hole per 6 hours
.
Let x = time if working together
then
x(1/5 + 1/6) = 1
x(6 + 5) = 30
11x = 30
x = 30/11
x = 2.7273 hours
or
x = 2 hours and 44 minutes
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\longrightarrow{\green{10.863}} ✅

\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}

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