Respuesta :
Answer:
8 Hours
Step-by-step explanation:
Given: 3/4 part of race completed in 6 hours.
Formula for finding speed is,
Speed= [tex]\frac{distance}{time}[/tex]
Now, lets find out the speed at which [tex]\frac{3}{4}[/tex] of the race completed.
Speed= [tex]\frac{\frac{3}{4} }{6} = \frac{1}{8}[/tex]
∴ Speed was [tex]\frac{1}{8}[/tex] to complete [tex]\frac{3}{4}[/tex] of the race.
Lets find out the remaining part of race:
[tex]1 - \frac{3}{4}[/tex] = [tex]\frac{1}{4}[/tex]
∴ [tex]\frac{1}{4}[/tex] part of the race is yet to be completed.
Now, time taken to finish [tex]\frac{1}{4}[/tex] part of race at the same speed of [tex]\frac{1}{8}[/tex].
Formula for finding time is,
Time= [tex]\frac{distance}{speed}[/tex]
Time ([tex]T_2[/tex])= [tex]\frac{\frac{1}{4} }{\frac{1}{8} }[/tex] = 2 [tex]\ hours[/tex]
∴ Time taken to finish remaining [tex]\frac{1}{4}[/tex] part of race is 2 [tex]\ hours[/tex]
Now, to find out total time taken to finish entire race is:
Total time= [tex]T_1 + T_2[/tex]
Total time = [tex]6+2 = 8 \ hours[/tex]
∴ Total time taken to finish entire race is 8 [tex]\ hours[/tex]
