Question
Train A of length 150 m is running at 54 km/h and Train
B of length 200 m is running at 36 km/h in the opposite direction on parallel tracks. In how many seconds will they completely cross each other?Solution
ATQ,
Convert speeds to m/s: 54 km/h = 54 × (5/18) = 15 m/s 36 km/h = 36 × (5/18) = 10 m/s Relative speed (opposite direction) = 15 + 10 = 25 m/s Total distance to be covered = sum of lengths = 150 + 200 = 350 m Time = Distance / Speed = 350 / 25 = 14 seconds.
In the figure BD = CD = AC, ∠ABC = 27 ° , ∠ACD = y. Find value of x.
In an obtuse angle  triangle PQR, the external angle bisector of angle P intersect the extended part of line RQ at M and the external angle bisector...
The lengths of three medians in a triangles are 9 cm, 12 cm, 15 cm. What is the area of that traingle (in cm 2 )?
If G is the centroid and AD, BE, CF are three medians of ∆ABC with area 54 cm 2 , then the area of ∆BGD is?
The length of the each side of an equilateral triangle is 14√3. The area of incircle, (cm 2 ) is
The perimeter of a rectangle is 48 cm, and the ratio of its length to breadth is 3:5. What is the area of the rectangle?
Find area of a sector of radius 14 cm with central angle 90°. (π = 22/7)
From an external point P, two tangents PR and PS are drawn to a circle with a radius of 10 cm. If the length of each tangent is 14 cm, determine the per...
If in a ΔABC, D is a point on BC such that BD = 1cm , BC = 3 cm then what is ratio of area of ΔABD to area of ΔADC ?