Question
βAβ and βBβ can complete a certain work in 10
days and 15 days, respectively. They started working together and worked till completion of the work for which they got Rs. 16000 as wage. Find the share of βBβ out of total wage.Solution
Let total work = 30 units {LCM of (10 and 15)} Efficiency of βAβ = 30/10 = 3 units/day Efficiency of βBβ = 30/15 = 2 units/day Wages received by βAβ and βBβ will directly proportion to their efficiency. So share of βBβ = 16000 Γ (2/5) = Rs 6400
The minute hand of a watch is 2 cm long. How far does its tip move in 45 minutes? (use π = 3.14)
Find the coordinates of the centroid of the triangle with vertices A(1, 2), B(4, 6), and C(7, 8).
Find the equation of the line passing through the points (1, 2) and (3, 8).
Find the Perpendicular distance between two lines
6x + 8y = 18, 12x + 16y =20
Determine the co-ordinates of the point where the line through the points A (3, 4, 1) and B (5, 1, 6) crosses the XY- plane?
In a race A beats B by 120m. B beats C by 260m and A beats C by 300m what is the length of race?
Find the area of the triangle formed by the points A(2, 3), B(-1, -4), and C(5, -2).
Find the co-ordinate of a point which divides the join of (3,2) and (3,2) internally in the ratio of 2:3?