Question
If a group of 8 boys and 12 girls can complete a task in 40
days, and a team of 4 girls alone can finish the same task in 80 days, how long will it take for 32 boys to finish the entire task on their own?Solution
ATQ;
Task done by 4 girls in 1 day = 1/80
Task done by 12 girls in 1 day = 3/80 = 1/26.67
Task done by 8 boys = 1/40 – 1/26.67 = 1/120
Task done by 32 boys = 4/120 = 1/30
Hence, required time = 30 days
In a circle of radius 13 cm, a chord has length 10 cm. Find:
(a) the distance of the chord from the centre,
(b) the angle subtended by the...
In a circle of radius 13 cm, a chord is of length 10 cm. Find the distance of the chord from the centre.
In a circle of radius 7 cm, the area of a sector is (154/3) cm². Find the angle of the sector at the centre.
The diameter of a circular field is 28 m. Find its circumference and area. (Take π = 22/7)
Sum of diameter and circumference of a circle is 232 cm, the find area of circle.
In a circle of radius 5 cm, a point P lies outside the circle at a distance 13 cm from the centre O. Tangents PA and PB are drawn from P to the circle, ...
In a circle of radius 10 cm, a chord AB has length 10√3 cm. Find:
(i) the distance of the chord from the centre, and
(ii) the measure of...
- The area of a rhombus is 1,600 cm², and the lengths of its diagonals are in the ratio 5:4. A circle is constructed with the smaller diagonal as the diamet...
The circumference of a circle equals the perimeter of a square of side 14. Find area of circle.
The circumference of the two circles is 120 cm and 428 cm respectively. What is the difference between their radii?