Respuesta :
Answer:
The first train going west traveled by 7 hours and 45 minutes
Step-by-step explanation:
Given as :
The speed of west going train = 70 kmph
The speed of east going train = 90 kmph
Distance between both the train is 1420 km
Let the distance cover by east going train = x km
So, The distance cover by west going train = (1420 - x) km
The west going train travel for T hour
And The east going train travel for ( T + 2 ) hour
Now, From Distance = speed × time
For east going train
x = 90 × ( T + 2 )
Or, x = 90 T + 180
For west going train
1420 - x = 70 × T
So, from above equations :
1420 - (90 T + 180 ) = 70 T
Or, 1420 - 180 = 70 T + 90 T
Or, 1240 = 160 T
∴ T = [tex]\frac{1240}{160}[/tex]
So, T = 7.75 hours
Or, T = ( 7 + [tex]\frac{75}{100}[/tex] ) hours
Or, T = (7 + [tex]\frac{3}{4}[/tex] ) hours
Or, T = 7 hours and 45 minutes
Hence The first train going west traveled by 7 hours and 45 minutes Answer
