A and B undertook a work for Rs. 350. A got Rs.150 more than that of B, when they worked together.
B takes 9 days more than A, when they work individually. In how many days A and B working
together can do the whole work?
Answers
Answer:
4.25 days
Explanation:
Let’s just assume the amount received by “A” to be x and “B” to be y.
So
x + y = 350
x = y + 150
on deduction, x = 250 and y = 100. So A works 2.5 times faster than B. (Equation - 1)
Now lets Assume A takes x days and B takes y days to finish the work individually.
y = x + 9 (Equation 2)
In a given day A finishes 1/x of the total work and B finished 1/y of the total work.
From Equation 1:
1/x = 5/2y
2y = 5x
y = 2.5 x
substituting in Equation 2 :
2.5 x = x + 9
1.5 x = 9
x = 6 days
y = 15 days
Now both of them together would do 1/6 + 1/15 of the total work in one day.
5/30 + 2/30 ==> 7/30
so they would take approximately 30/7 (4.25 days) to finish the work.
wat to lern about; a,b and c can do a piece of work in 30,40 and 50 days respectively.they all compelete the work recieve ₹1128 find the share of each
see this ;
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