Question
A and B together can finish a task in 12 days. B and C
together can complete the same task in 20 days. A and C together complete 33(1/3) % of the task in 5 days. How many days will C take to complete the entire task on their own?Solution
Let the total work = L.C.M of 12, 20 and 5 = 60 units Then, combined efficiency of 'A' and 'B' = 60 ÷ 12 = 5 units/day Combined efficiency of 'B' and 'C' = 60 ÷ 20 = 3 units/day Since, 33(1/3) % =1/3 So, time taken by 'A' and 'C' together to complete the entire work = 5 ÷ (1/3) = 15 days So, combined efficiency of 'A' and 'C' = 60 ÷ 15 = 4 units/day Twice the efficiency of 'C' = (3 + 4) - 5 = 2 units/day So, efficiency of 'C' = 2 ÷ 2 = 1 unit/day So, time taken by 'C' alone to complete the entire work = 60 ÷ 1 = 60 days
I. x2 + 25x + 154 = 0
II. y2 + 27y + 181 = 0
I. 22x² - 97x + 105 = 0
II. 35y² - 61y + 24 = 0
I.√(3x-17)+ x=15
II. y + 135/y=24
I. 4x2 – 53x – 105 = 0
II. 3y2 – 25y + 48 = 0
In each of these questions, two equations (I) and (II) are given.You have to solve both the equations and give answer
I. 3x² –7x + 4 = 0�...
- For what value of a does the quadratic equation x² + ax + 81 = 0 have real and identical roots?
(i) 2x² – 9x + 10 = 0
(ii) 4y² – 12y + 9 = 0
I. (y – 5)2 – 9 = 0
II. x2 – 3x + 2 = 0
What are the coordinates of the point which divides the line joining (-1, 7) and (4, 3) in the ratio 2:3?
LCM of 'x' and 'y' is 30 and their HCF is 1 such that {10 > x > y > 1}.
I. 2p²- (x + y) p + 3y = 0
II. 2q² + (9x + 2) = (3x + y) q
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