two trains leave a railway station at the same time. the first train t

1.	two trains leave a railway station at the same time. the first train travel towards west and the second train towards north. the first travels 5 km/hr faster than the second train. if after two hours they are 50 km. apart, find the average speed of each train.
Answer» Let the average spped of the SECOND train be x km/h. Thus, the speed of the first train will be (x+5) km/h. Distance TRAVELLED by the first train in TWO hours =2(x+5) km/h Distance travelled by the second train in two hours =2x km/h Using pythagoras theorem, we have 4x 2 +4(x+5) 2 =50 2 4x 2 +4x 2 +40x+100=2500 8x 2 +40x−2400=0 x 2 +5x−300=0 (x−15)(x+20)=0 x=15,−20 Ignore the negative VALUE of the speed. We have, Speed of the second train be 15 km/h. Spped of the first train be (15+5)= 20 km/h

two trains leave a railway station at the same time. the first train travel towards west and the second train towards north. the first travels 5 km/hr faster than the second train. if after two hours they are 50 km. apart, find the average speed of each train.

Answer»

Let the average spped of the SECOND train be x km/h.

Thus, the speed of the first train will be (x+5) km/h.

Distance TRAVELLED by the first train in TWO hours =2(x+5) km/h

Distance travelled by the second train in two hours =2x km/h

Using pythagoras theorem, we have

+4(x+5)

=50

+4x

+40x+100=2500

+40x−2400=0

+5x−300=0

(x−15)(x+20)=0

x=15,−20

Ignore the negative VALUE of the speed. We have,

Speed of the second train be 15 km/h.

Spped of the first train be (15+5)= 20 km/h

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two trains leave a railway station at the same time. the first train travel towards west and the second train towards north. the first travels 5 km/hr faster than the second train. if after two hours they are 50 km. apart, find the average speed of each train.​

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two trains leave a railway station at the same time. the first train travel towards west and the second train towards north. the first travels 5 km/hr faster than the second train. if after two hours they are 50 km. apart, find the average speed of each train.