A race track is in the shape of a rectangle with length of 13 metres and area of 1300 m2. A car takes 10 seconds to make one lap around the perimeter of this track. If the car and a person whose speed is 5 m/s, started moving at the same time along the perimeter of the track but in opposite directions, then find the distance between the car and the person, 3 seconds before they cross each other.
Area of the track = length of track x breadth of track = 13 x breadth of track = 1300 So, breadth of track = 1300 ÷ 13 = 100 So, perimeter of the track = (13 + 100) x 2 = 226 metres So, speed of the car = (226/10) = 22.6 m/s Relative speed of the car with respect to the person = 22.6 + 5 = 27.6 m/s So, distance between the car and the person, 3 seconds before they cross each other = 27.6 x 3 = 82.8 metres
A horse is tethered to a peg with a 28 metre long repeat the corner of a 45 metre long and 25 metre wide rectangular grassfield. What area of field does...
The diameter and the slant height of a conical tent are 16 m and 5.6 m, respectively. What length of cloth having width 4m is needed to make the tent?
The length and breadth of a rectangle are increased by 8% and 5%, respectively. By how much percentage will the area of the rectangle increase?
The length of a rectangle is four times its breadth. If its length is increased by 20 cm. and breadth is increased by 30 cm, the area of the rectangle i...
The radius of the base of a cylinder is 14 cm and its curved surface area is 880 cm². Its volume (in cm³) is: (Takе π = 22/7)
AB is a diameter of a circle with centre O. A tangent is drawn at point A. C is a point on the circle such that BC produced meets the tangent at P. If â...
A pipe fills a cubical tank at the rate of 242 m3Â per minute in 44 minutes. If a cylindrical tank having height same as the side of a cubica...
Three metallic cubes whose sides are 15 cm, 20 cm and 25 cm respectively are melted and converted into a single cube. If there is no loss of metal in t...
The volume of cone is 1320 cm3. If its height is 1.4 cm then find the radius of the cone.
The lateral surface area of a cube is 484 cm2 . The length of a cuboid is 10% more than the side of the cube. The breadth of the cuboid is 9 ...
