Train P travelling at 52 km/hr crosses another train Q, having three fourth of its length and travelling in opposite direction at 20 km/hr in 21 seconds. Train P passed a railway platform in 36 seconds. Find the length of platform.
Let the length of the first train is x metre Length of second train = 3x/4 Therefore, (52 + 20) x 5/18 = {x + (3x/4)}/21 ⇒ 72 x 5/18 = (7x/4)/21 ⇒ x = 240 m Therefore, let the length of the platform be y metre ⇒ 52 x 5/18 = (240 + y)/36 ⇒ 520 = 240 + y ⇒ y = 520 – 240 = 280 m
The lengths of the three sides of a right-angled triangle are (x-1) cm, (x+1) cm and (x+3) cm, respectively. The hypotenuse of the right-angled triangle...
If each side of an equilateral triangle is 12 cm, then its altitude is equal to:
The corresponding medians of two similar triangles are 16 cm and 20 cm. If the area of the first triangle is 288 cm, then find the area of the second tr...
The inner-radius of a triangle is 5 cm, and the sum of lengths of its sides is 60 cm. What is the area of the triangle (in sq. cm.)?
Area of a triangles with vertices at (2, 3), (-1, 0) and (2, -4) is :
A triangle and a parallelogram have the same base 42 cm and the same area. If the height of the parallelogram is 14 cm, then find the length of the alti...
In △ ABC, D and E are the points on sides AB and AC. respectively and DE | BC. BC = 8 cm and DE = 5 cm. If the area of △ ADE = 45 cm², then wha...
A △ ABC has sides 5 cm, 6 cm and 7 cm. AB extended touches a circle at P and AC extended touches the same circle at Q. Find the length (in cm) of AQ.
If area of similar triangles ∆ ABC and ∆ DEF be 64 sq Cm and 121 sq cm and EF = 15.4 cm then BC equals
The perimeter of an equilateral triangle is 48√3 cm. Find its height.
