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alondrasanchezvillan
20.09.2019 •
Mathematics
Vahe and davit together can complete a task in 3 days. if they had to work separately, the time taken by davit to complete it would be more than that of vahe by 8 days. in how many days can vahe alone complete the task?
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Ответ:
4 days
Step-by-step explanation:
When combining rates you are basically adding fractions. so if we say Vahe can do v (as a variable) tasks per 3 days and Davit can complete d tasks per 3 days it would look like![\frac{v}{3} + \frac{d}{3} = \frac{1}{3}](/tpl/images/0246/0291/095c2.png)
now, we know that vahe can complete a task in let's say x days and Davit can complete the task in x+8 days so that means
and
. If we can find x we can make these into the v and d terms above, so we need to find x. If we add these two fractions, like we do the stuff above, we get
=
. so now we can set
= ![\frac{1}{3}](/tpl/images/0246/0291/5506e.png)
from here it's algebra.
3(2x+8) = x(x+8) expand
6x + 24 = x^2 +8x Get everything to one side
0 = x^2 + 2x -24 Factor however you like, I can go through it if you also want.
You wind up with x = 4
So, now we can plug into the equation with x. So vahe can complete a task in 4 days and Davit 12 days. We can check by adding the fractions [tex]\frac{1}{4} + \frac{1}{12} which gives us that 1/3
Ответ:
90%
Step-by-step explanation:
cost price of both tv = 2500
sale price of undamaged = 3000
sale price of damaged = 2200
sale price of both tv = 5200
profit = sale price - cost price
profit = 5200 - 2500
profit = 2700
profit percentage = profit × 100 ÷ cost price
profit percentage = 2700 × 100 ÷ 2500
profit percentage = 90%