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luckye
14.07.2019 •
Mathematics
Jeff takes 5 hour longer to build a fence than it takes bill. when they work together, it takes them 6 hours. how long would it take bill to do the job alone
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Ответ:
Jeff's time, B + 5
time they actually work, 6.
6/B + 6/(B+5) = 1
6(B+5) + 6B = B(B+5)
6B + 30 + 6B = B² + 5B
B² - 7B - 30 = 0
(B - 10)(B + 3) = 0
B = 10 or B = -3, and we reject the negative solution.
the equation is based on adding the fractions of the whole job each does. if Bill takes B hours to do the whole thing and works 6, he does 6/B of the job. similarly for Jeff.
in the 2nd problem,
a = time of experienced accountant
2a = time of new accountant
10 = time each actually works
10/a + 10/(2a) = 1 multiply all by a
10 + 5 = a
a = 15 hr.
Ответ:
You cannot buy it.
Step-by-step explanation:
$450 with a 20% percent discount would be $360
Add in a sales tax of 5.25%, and it amounts to $549 in total.
Since you only have $400, you cannot buy the bike.