Question
‘G’ and ‘H’ can complete an assignment in 60
days, while ‘H’ and ‘I’ can complete it in 45 days. ‘G’ and ‘H’ worked together on it for 50 days, after which ‘I’ alone finished the remaining work in 12 days. If ‘G’, ‘H’, and ‘I’ commenced an assignment and worked jointly till completion, earning a total of Rs. 1650 in wages, then the share of ‘G’ will be:Solution
Total work = LCM of 60 and 45 = 180 units Work done by ‘G’ and ‘H’ per day = 180/60 = 3 units Work done by ‘H’ and ‘I’ per day = 180/45 = 4 units Work done by ‘G’ and ‘H’ in 50 days = 50 × 3 = 150 units Remaining work = 180 - 150 = 30 units Efficiency of ‘I’ = 30/12 = 2.5 units per day Efficiency of ‘H’ = 4 - 2.5 = 1.5 units per day Efficiency of ‘G’ = 3 - 1.5 = 1.5 units per day Share of ‘G’ = (1.5 / (1.5 + 1.5 + 2.5)) × 1650 = Rs 450
The slope of the equation 24x+ 8y =56 is
The length of a line segment A, B is 10 units. The coordinates of point A are(2,3) and the value of ordinate of point B is 5. Then find the value of abs...
If (5√P - 7√Q) = 5, [1.5P = 4Q-(R/3)+9] and (√P/√Q) = 1.6, then find out the value of ‘R’.
If, x - y radic; 3 = 23 and radic; 3x + y = 35
Find the angle between both the lines when they intersect each other.
...I. p2 – 5p + 6 = 0
II. 36q2 = 81
...I. p² - 365 = 364
II. q - √ 529 = √ 169
Find the value of 'a' and 'b' which satisfy the following equations:
9a + 7b = 30
4a - 5b = 62
The ratio of roots of an equation
ax²+bx+b = 0 is p : q
Then find, √p/√q + √q/√p + √p/√q ?
If x - √3 y = 8 Find the slope in angle?
I. 8/(√x) + 6/(√x) = √x
II. y ³- (14)7/2 /(√y) = 0
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