Question
βPβ can complete a project in 12 days. βQβ is
40% less efficient than βPβ. Working together, βPβ, βQβ and βRβ can finish the job in 5 days. In how many days will βRβ finish the job working alone?Solution
ATQ,
Time taken by βPβ to complete the whole work alone = 12 days Time taken by βQβ to complete the whole work alone = 12 / 0.6 = 20 days Let the total work = 60 units (L.C.M of 12 and 20) Efficiency of βPβ = 60 / 12 = 5 units/day Efficiency of βQβ = 60 / 20 = 3 units/day Let the efficiency of βRβ be x units/day According to the question, (5 + 3 + x) Γ 5 = 60 Or, 5x = 60 β 25 β 15 Or, x = 20 / 5 = 4 units/day Time taken by βRβ to complete the whole work alone = 60 / 4 = 15 days
For 3xΒ² β 10x β 8 = 0, find (1/Ξ± + 1/Ξ²).
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between x and y.
I. 3x<...
I. 2x2 - 9 x + 9 = 0Β
II. 2y2 - 7 y + 3 = 0
I. 8xΒ² - 74x + 165 = 0
II. 15yΒ² - 38y + 24 = 0
I. 3x2 - 16x - 12 = 0
II. 2y2 + 11y + 9 = 0
In the question, two equations I and II are given. You have to solve both the equations to establish the correct relation between 'p' and 'q' and choose...
For what values of k does the equation xΒ² β (k+1)x + k = 0 have two distinct real roots, both greater than 1?
l. x2 - 16x + 64 = 0
II. y2Β = 64
I. 66xΒ² - 49x + 9 = 0
II. 46yΒ² - 37y - 30 = 0
I. 3p² - 17p + 22 = 0
II. 5q² - 21q + 22 = 0
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