Question
'A' and 'B' together build a wall in 48 days. If 'A'
builds the wall in 120 days, then find the time taken by 'B' to build the wall.Solution
Let the total work be 240 units (LCM of 48 and 120)Combined efficiency of 'A' and 'B' = (240/48) = 5 units/dayEfficiency of 'A' = (240/120) = 2 units/daySo, efficiency of 'B' = 5 - 2 = 3 units/dayTherefore, required time = (240/3) = 80 days
In triangle ABC, DE is drawn parallel to BC, meeting AB at D and AC at E. If AD : DB = 3 : 2 and the area of triangle ADE is 45 cm², find:
(a) t...
What is the height of an equilateral triangle with a side length of 12√5 cm?
The area of two similar triangles is 361 cm² and 324 cm², respectively. What is the ratio of their corresponding altitudes?
Find the length of AC, if ΔABC ~ ΔRQP and BC = 21 cm, QP = 9 cm and RP = 15 cm.
What is the length of the hypotenuse in an isosceles right-angled triangle if one of its equal sides measures 5√3 cm?
A triangle has sides 13 cm, 14 cm, and 15 cm. What is the radius of its incircle?
Area of a triangles with vertices at (2, 3), (-1, 0) and (2, -4) is :
The base of a triangular plot is 25 meters, and its height is 30 meters. If a path of 2 meters wide is to be built around the plot, what will be the are...
- Determine the inradius of an equilateral triangle if its height is 6√3 cm.
The altitude of an equilateral triangle is 6√3 cm. Find the area of the equilateral triangle.