Question
The length of train 'P' is 'c' metres and that of train 'Q'
is (c + 90) metres. If the speeds of train 'P' and 'Q' are 48 km/h and 60 km/h, respectively, and they take 10 seconds to cross each other while travelling in opposite directions, then find the length of train 'P'.Solution
ATQ,
Speed of train 'P' = 48 × (5/18) = 13.33 m/s
Speed of train 'Q' = 60 × (5/18) = 16.67 m/s
ATQ;
{(90 + 2c)/(13.33 + 16.67)} = 10
Or, 90 + 2c = 300
Or, 2c = 210
Or, c = 105
So, length of train 'P' = 105 metres
A triangle ABC is inscribed in a circle with radius 10 cm. The sides of the triangle are AB = 12 cm, BC = 16 cm, and AC = 20 cm. Find the area of the tr...
∆ABC and ∆DEF are similar and their areas are respectively 25 cm2 and 36 cm 2 . If EF = 7.2 cm BC is?
The area of an equilateral triangle is 400√3 sq m. Its perimeter is
Find the area of triangle having sides 28 m, 45 m, and 53 m.
In the given figure CD is parallel to AB then ∠y is?
If y = 5x + c passes through point A(5, 2), what is the value of c?
...AB is the diameter of a circle with centre 'O'. PQ is a chord that cuts AB at 'C'. If radius of the circle is 7.5 cm and AC:CB = 3:2, the find the lengt...
In a triangle PQR, ST is drawn parallel to side QR. If PS = 8 cm, QS = 5 cm and PT = 14 cm, then find PR.
If the area of ∆ ABC is 30 cm2 & G is the centroid of ∆ ABC.then the area of the ∆ AGB?
The radius of the incircle of a triangle is 3 cm. if the area of the triangle is 12 cm 2 , then its perimeter is?
Relevant for Exams:
