Question

Two friends are moving on a railway track inside a tunnel.When they had covered 7/8 portion of tunnel, they heard of a train noise coming toward them.It was some distance away from the tunnel at the speed of 16 km/hr.Two friends taken instant decision run one towards the train and other way from the train. Both ran with the same speed and manage to come out safe from the tunnel. Find the speed of the boys
PLEASE ANSWER AS SOON AS POSSIBLE.
FOR 50 POINTS

Answer 1

Answer:

Speed of Boys = 12 km/Hr

Step-by-step explanation:

Two friends are moving on a railway track inside a tunnel.

They had covered 7/8 portion of tunnel,

Let say Tunnel length = 8L

Distance Toward Tunnel End from the side Train is Coming = 8L - (7/8)8L = L

Distance on Another Side = 7L

Let say person running toward Train runs With Speed A

Then time Taken = L/A

Distance Covered by Tain = 16 * L/A

Let say person running opposite to Train runs With Speed B

Then time Taken = 7L/B

Distance Covered by Train = 16 * 7L/B

16 * 7L/B  =  16 * L/A   + 8L

14/B   = 2/A + 1

=> 14A = 2B + AB

Given  both runs with Same Speed

=> A = B

=> 14A = 2A + A²

=> 12A = A²

=> A = 12

Speed of Boys = 12 km/Hr