Answer:
The speed of faster bus is 108 kmph and The speed of slower bus is 98 kmph .
Step-by-step explanation:
Given as :
The two buses apart 1442 km
The time taken for apart = 7 hours
Let The speed of faster bus = x kmph
The speed of slower bus = ( x - 10 ) kmph
Now Speed = [tex]\dfrac{\textrm distance}{\textrm time}[/tex]
∵ Both the buses traveling in opposite direction
So, The speed of faster bus + the speed of slower bus = [tex]\dfrac{\textrm distance cover}{\textrm time}[/tex]
Or, x + x - 10 = [tex]\frac{1442}{7}[/tex]
or, 2 x = 206 + 10
or, 2 x = 216
∴ x = [tex]\frac{216}{2}[/tex]
I.e x = 108 kmph
So, The speed of faster bus = x = 108 kmph
And The speed of slower bus = ( x - 10 ) = 108 - 10 = 98 kmph
Hence The speed of faster bus is 108 kmph and The speed of slower bus is 98 kmph . Answer