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notsponge [240]
4 years ago
9

It takes Susan 3 hours to fix 2 broken cars and it takes Joseph 4 hours to fix 3 broken cars. If they work together how long wil

l it take them to fix 17 broken cars?
Mathematics
1 answer:
icang [17]4 years ago
8 0
Combined rates

Susan = 2 car / 3 hr
= 2/3

Joe = 3 car / 4 hr
= 3/4

add the rates to get the new combined rate as 17 cars in "t" hours.

2/3 + 3/4 = 17/t

Need common denominator

2/3(4/4) + 3/4(3/3) = 17/t

8/12 + 9/12 = 17/t

17/12 = 17/t

see that "t" is 12 hours
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--------------------------------- = ?
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That's the correct answer.  But if you want to remove the fractional exponent from the denominator, do this:

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