Respuesta :
Answer:
x = 96 km.
Step-by-step explanation:
We have,
Distance traveled by Mukesh = x km.
Speed on Monday = 90 km/h and Speed on Tuesday = 120 km/h.
Let, Time taken on Monday = t hours
Then, Time taken on Tuesday = (t-16/60) hours
Since, we know that, [tex]Speed=\frac{Distance}{Time}[/tex] i.e. [tex]Distance=Speed\times Time[/tex].
Thus, we have the following relations,
[tex]x=90\times t[/tex] and [tex]x=120\times (t-0.267)[/tex]
Thus, we get,
[tex]90\times t=120\times (t-0.267)[/tex]
i.e. [tex]90\times t=120\times t-32)[/tex]
i.e. [tex]90\times t-120\times t=-32[/tex]
i.e. [tex]-30\times t=-32[/tex]
i.e. t = 1.067 hours.
So, the time taken by Mukesh is 1.067 hours.
Thus, as [tex]x=90\times 1.067[/tex] i.e. x = 96.
Hence, the distance traveled by Mukesh is 96 km.
