Question
Train βAβ running with a speed of 54 km/hr can cross
a standing goods train of 4 times its length in 30 seconds. Find the time taken by 210 metres long train βBβ which is coming from opposite direction of train βAβ, with a speed of 35 m/s, to cross train βAβ.Solution
Let the length of train βAβ be βxβ metres Therefore, length of the goods train = β4xβ metres Speed of train βAβ = 54 Γ (5/18) = 15 m/s According to the question, 4x + x = 15 Γ 30 => 5x = 450 => x = 90 Therefore, time taken by train βBβ to cross train βAβ = {(90 + 210)/(15 + 35)} = 6 seconds
Find the surface area of the smallest cube that can perfectly fit a sphere of volume 972Ο cm3 inside it.Β Β
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 cmΒ³. 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 cmΒ³?
Relevant for Exams:
