1.

Two stations are 420 km apart from each other. A train starts from A at a speed of 36 km/hr. At the same time, another train starts from B at a speed of 24 km/hr. At what distance from the station B will the trains meet?1). 144 km2). 168 km3). 210 km4). 254 km

Answer»

Let the trains meet at a distance of ‘x’ km from B.

Distance of meeting POINT from A = 420 – x

To reach the meeting point, time taken by A = time taken by B

(Distance travelled by A/ speed of TRAIN from A) = (distance travelled by B/ speed of train from B)

⇒ (420 – x)/36 = x/24

⇒ 10080 – 24x = 36x

⇒ 24x + 36x = 10080

60X = 10080

⇒ x = 10080/60 = 168 km.

∴ Trains meet at a point 168 km from station B.


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