Two trains traveling towards each other have speeds 60 kmph and 48 kmp

1.	Two trains traveling towards each other have speeds 60 kmph and 48 kmph respectively. they crosses each other in 30 seconds. If length of one train is 400 meters find the length of other train in meters.1). 1252). 2503). 5004). 550
Answer» When 2 trains are traveling in opposite DIRECTION their relative speed is addition of their individual speeds. So, relative speed of two trains = 60 + 48 = 108 kmph $(= \frac{{108 \times 1000}}{{3600}})$ = 30 m/s When trains cross each other they travel distance which is equivalent to sum of their lengths. As per GIVEN data- Trains cross each other in 30 SECONDS & Length of 1 train is 400 meters. Let the length of other train be x meters. ∴ Sum of lengths of trains = Relative distance traveled by trains in 30 seconds. ⇒ Sum of lengths of trains = Relative speed × time ⇒ 400 + x = 30 × 30 ⇒ 400 + x = 900 ⇒ x = 500 meters ∴ Length of 2^nd train is 500 meters.

Two trains traveling towards each other have speeds 60 kmph and 48 kmph respectively. they crosses each other in 30 seconds. If length of one train is 400 meters find the length of other train in meters.1). 1252). 2503). 5004). 550

Answer»

When 2 trains are traveling in opposite DIRECTION their relative speed is addition of their individual speeds.

So, relative speed of two trains = 60 + 48 = 108 kmph

$(= \frac{{108 \times 1000}}{{3600}})$

= 30 m/s

When trains cross each other they travel distance which is equivalent to sum of their lengths.

As per GIVEN data-

Trains cross each other in 30 SECONDS

& Length of 1 train is 400 meters.

Let the length of other train be x meters.

∴ Sum of lengths of trains = Relative distance traveled by trains in 30 seconds.

⇒ Sum of lengths of trains = Relative speed × time

⇒ 400 + x = 30 × 30

⇒ 400 + x = 900

⇒ x = 500 meters

∴ Length of 2^nd train is 500 meters.

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