Question
A train passes two bridges of length 800 m and 450 m in
200 sec and 120 sec respectively. The length of the train is:Solution
Let the length of train x m. Speed of train = (Length of train + length of bridge)/Time taken in crossing According to the question, => (x+800)/200 = (x+450)/120 => 120(x+800) = 200(x+450) => 3(x+800) = 5(x+450) => 3x + 2400 = 5x + 2250 => 5x−3x = 2400 −2250 =>2x = 150 => x = 150/2 = 75 m
Find the surface area of the smallest cube that can perfectly fit a sphere of volume 972π cm3 inside it.
The circumference of a circle is equal to the perimeter of a rectangle whose length and breadth are in ratio 13:10, respectively. If the area of the rec...
Perimeter of a square shaped plot is 80 metres and the area of a rectangular plot is 38% more than that of the square shaped plot. Find the area (in m

If the curved surface area and the radius of a cylinder are 990 cm2 and 21 cm, respectively, then find the volume (in cm3) of the ...
The volume of a cuboid whose length, breadth, and height are in the ratio 5:3:2, respectively, is 3,000 cm³. Find the lateral surface area of the cuboi...
The length of a 744 metre long wire is 12 times the perimeter of a rectangular French garden. Find the area of the rectangular garden given that its len...
Two paths of width 6 metres are to be made in the centre of rectangular field such that they are perpendicular to each other. Find the area (in m2<...
A street of width 25 metres surrounds from outside a rectangular garden whose measurement is 190 m × 220 m. The area of the path (in square metres...
- What is the surface area of a sphere if its volume is 4,851 cm³?