Question
Pipe A can fill a tank in 12 hours and pipe B takes 18
hours to fill it. Both pipes were open together and a leak was spotted which increased the filling up time by 48 minutes Find how many hours it will take for the leak to empty a full tank.Solution
Time of A and B for filling the tank = (12×18)/12+18 =216/30=7hours 12minute. Total time (A+B+C) 48 minute more than (A+B)- A+B+C =8 hours ABA+B+CC 12188 72 649-1 Efficiency of leak =9-(6+4) = -1 Leak will empty the whole tank =72/1 =72min
A △ ABC has sides 5 cm, 6 cm and 7 cm. AB extended touches a circle at P and AC extended touches the same circle at Q. Find the length (in cm) of AQ.
- A triangle has a base of 22 cm and the corresponding height is 9.5 cm. Calculate its area.
Determine the hypotenuse of an isosceles right-angled triangle where each of its equal sides measures 9√7 cm.
In △ ABC, D and E are the points on sides AB and AC. respectively and DE | BC. BC = 8 cm and DE = 5 cm. If the area of △ ADE = 45 cm², then wha...
In triangle △ ABC, the internal angle bisectors of ∠ B and ∠ C intersect at point OO. If the measure of ∠ BAC = 50o , determine the m...
If the ratio of areas of two similar triangles is 25:49, then the ratio of their corresponding sides is?
The angles of a triangle are in the ratio 4:5:3. Determine the sum of the smallest and largest angles of the triangle.
- The base of a right pyramid is an equilateral triangle with side 7 cm. If the height of the pyramid is 32√3 cm, then find the volume of the pyramid.
The area of an equilateral triangle is 432√3 cm2 . If a square is drawn using the height of the triangle as one of the sides, then find the...
In the Figure given below, find the value of x?
