Question
A can complete a piece of work in 24 days. He worked for
21 days and then B finished the remaining work in 5 days. In how many days can A and B together finish the work?Solution
A can complete a piece of work in 24 days. A does the work in 24 days =1 A does the work in 1 day =1/24 A does the work in 21 days = (1/24) ×21=7/8 Remaining work =1-7/8 =1/8 Remaining work finished by B in 5 days =5×8=40days. A and B together finish the work – 24                   40         120 5            3 =120/5+3 =120/8 =15 days.
For 3x² − 10x − 8 = 0, find (1/α + 1/β).
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 = 0Â
II. 2y2 - 7 y + 3 = 0
I. 8x² - 74x + 165 = 0
II. 15y² - 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 x² – (k+1)x + k = 0 have two distinct real roots, both greater than 1?
l. x2 - 16x + 64 = 0
II. y2Â = 64
I. 66x² - 49x + 9 = 0
II. 46y² - 37y - 30 = 0
I. 3p² - 17p + 22 = 0
II. 5q² - 21q + 22 = 0