Question
'Amit', 'Ravi', and 'Neha' can finish a piece of work in
66, 99, and 132 days respectively. They all started the work, but Amit left 8 days before the work ended and Ravi left 4 days before. Find total days to complete the work. (Calculate approximate value)Solution
ATQ,
Let the total work be 1188 units (LCM of 66, 99, 132)
Efficiency of Amit = 1188 / 66 = 18 units/day
Efficiency of Ravi = 1188 / 99 = 12 units/day
Efficiency of Neha = 1188 / 132 = 9 units/day
Let total time = n days
(18 + 12 + 9)(n - 8) + (12 + 9)(4) + 9(4) = 1188
Or, 39n - 312 + 84 + 36 = 1188
Or, 39n = 1380
So, n = 1380 / 39 = 35.38 ≈ 35 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<...
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II. 15y² - 38y + 24 = 0
I. 3x2 - 16x - 12 = 0
II. 2y2 + 11y + 9 = 0
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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
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I. 3p² - 17p + 22 = 0
II. 5q² - 21q + 22 = 0
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