Math, asked by shaguntyagi2021, 3 months ago

The proposed bullet train covers a distance of 600 kms in india. The speed of the train will be 200 kmph lesser in its testing phase and thus, the journey time may
increase by 30 min. Find the actual journey time of the train. What is the ratio of x and y​

Answers

Answered by amitnrw
5

Given : The proposed bullet train covers a distance of 600 kms in india. The speed of the train will be 200 kmph lesser in its testing phase and thus, the journey time may increase by 30 min.

To Find :   the actual journey time of the train

Solution:

Distance = 600  km

Actual Journey  time  = T  hrs

Actual Speed = 600/T  km/hr

Testing Time = T + 1/2  hrs      ( 30 mins = 1/2 hrs)

Testing Speed =  600 / ( T + 1/2)

= 1200/(2T + 1)

1200/(2T + 1)  + 200 = 600/T

=> 6/(2T + 1)  + 1 =   3/T

=> 6T  + (2T + 1) T = 3(2T + 1)

=> 6T + 2T²  + T = 6T  +  3

=> 2T²  + T - 3 = 0

=> 2T²  + 3T - 2T  - 3 = 0

=> 2T (T - 1) + 3(T - 1)  = 0

=> T = 1   , T = - 3/2

Hence  actual journey time of the train =   1 hr

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