Answer:
In 29 1/2 days, the total pipe laid is [tex](\frac{59}{16})[/tex] mile.
Step-by-step explanation:
The length of pipe laid in 1 day = 1/8 mile
So, the length of pipe laid in half day = half of (1/8 mile)
= [tex]\frac{1}{2} \times \frac{1}{8} = \frac{1}{16} \textrm{mile}[/tex]
Now, 29 1/2 days on simplification means 29 and half day.
So, length of pipe in 29 days = [tex]29 \times \frac{1}{8} = \frac{29}{8}[/tex] mile
Now adding the length laid in half day = [tex]\frac{29}{8} + \frac{1}{16} = \frac{29 (2) + 1}{16} = \frac{59}{16} \textrm{mile}[/tex]
So, in 29 1/2 days, the total pipe laid is [tex](\frac{59}{16})[/tex] mile.
