Question
Ajay and Vishal left the place βXβ with different
speeds which are in the ratio 3:2 respectively. Ajay left the place 42 seconds after Vishal. If after 72 seconds of the departure of Vishal, Ajay is 40 meters apart from Vishal, then find the speed of Vishal.Solution
Let the speeds of Ajay and Vishal be 3x and 2x km/hr respectively. Distance covered by Vishal in 72 seconds = 2x x (5/18) x 72 = 40x m Distance covered by Ajay in 42 seconds = 3x x (5/18) x 42 = 35x m According to the question, => 40x β 35x = 40 => x = 8 Therefore the speed of Vishal = 2x = 16 km/hr
The length of a rectangle, area of which is 315 cm2, is equal to the radius of a circle of area 3850 cm2. Find the perimeter of th...
The length, breadth and height of a solid cuboidal box are in the ratio 7 : 5 : 3 and its total surface area is 11502cm2. Its breadth is:
If the curved surface area and the radius of a cylinder are 660 cm2 and 6 cm, respectively, then find the volume (in cm3) of the c...
Sum of first 10 terms of a GP is equal to the sum of the first 12 terms in the same GP. Sum of the first 15 terms is 31, what is the third term in the GP?
A right pyramid has an equilateral triangle as its base, with each side measuring 7 cm. The height of the pyramid is given as 32β3 cm. Find the volume...
If the diameter of a sphere is 63 cm, then what is the total surface area of the sphere?
- Six cubes, each with side 5 cm, are placed side by side in a straight line to form a cuboid. What is the total surface area of the resulting cuboid?
The external dimensions of an open rectangular wooden box are 88 cm by 74cm by 67cm. If the wood is 2cm thick all around, find the amount of volume of w...
The circumference of a circle is equal to the perimeter of a rectangle whose length and breadth are in ratio 7:5, respectively. If the area of the recta...
The circumference of a circle is 66 cm and the length of the rectangle is 4 times the radius of the circle. Find the area (in cm2) of the rec...