Question
20 men can finish a work in 12 days by working 7 hours
a day. How many more men are needed to finish the work in 10 days by working 8 hours a day?Solution
Let the efficiency of a man be 'x' units/day. Let number of extra men needed to finish the work be 'y'. ATQ; Total work = (20 + y) × x × 10 × 8 = 20 × x × 12 × 7 Or, 20 + y = 21 So, y = 21 − 20 = 1 Therefore, the number of extra men required = y = 1
The internal bisector of ∆ABC at ∠A cuts BC on D and cuts the circumcircle at E. If DE = 6cm, AC = 8cm and AD = 10 cm, then find the length of AB?
In ∆ABC , G is the centroid , AB = 5 cm, BC= 8 cm and AC = 7 cm , find GD, where D is the mid-point of BC?
If in a ΔABC, AD is internal angle bisector & D is a point on BC, AB = 8 cm, BC = 10 cm then what is BD:CD?
The length of the each side of an equilateral triangle is 42√3 cm . The area of circumcircle, (cm 2 ) is
The radius of the incircle of a triangle is 3 cm. if the area of the triangle is 12 cm 2 , then its perimeter is?
The radius of a circle is 13 cm, and the length of the chord is 10 cm. Find the distance between the chord and the centre of the circle. Â
In the given Figure, Find  angle BCD. If AB is a diameter & AB is parallel to CD.
In the figure BD = CD = AC, ∠ABC = 27 ° , ∠ACD = y. Find value of x.
If O is circumcentre of acute angled triangle ABC, if ∠ OBC = 300 then ∠BAC = ?
In ∆ABC , G is the centroid , AB = 5 cm, BC= 6 cm and AC = 7 cm , find GD, where D is the mid-point of BC?
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