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Let the number of days taken by Mukta to complete the work be “x”. Number of days taken by Raj = (x + 8) Number of days taken by Bheem = (x + 32) 1/(x + 8) + 1/(x + 32) = 1/x 2x2 + 40x = x2 + 40x + 256 2x2 - x2 = 256 x2 = 256 or x = 16 Number of days taken by Mukta = 16 days Number of days taken by Bheem = 48 days Let the total work be 48 units. Mukta’s one-day work = 3 units Bheem’s one-day work = 1 unit Required time = 48/4 = 12 days
If secθ + tanθ = 3+√10, then the value of sinθ+cosθ is
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Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevat...
If P, Q, R, S are the vertex of a cyclic quadrilateral. Find the value of
`1/sec p` +`1/sec q` +`1/sec r` +`1/sec s`
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Find the simplified value of the following expression if a = 30o
[(sin2a + cos2a} ÷ seca × sina ÷ cosa]
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ABC is an isosceles triangle where AB = AC which is circumscribed about a circle. If P is the point where the circle touches the side BC, then which of ...
If tan θ + cot θ = 2 where 0 < θ < 90 ; find the value of tan30 θ + cot 29 θ.