Question

a pipeline is laid at a rate of 1/8 mile per day.How many miles of line would be completed in 29 1/2 days​

Answer 1

Answer:

In 29  1/2 days, the total pipe laid is $(\frac{59}{16})$ 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)

= $\frac{1}{2} \times \frac{1}{8} = \frac{1}{16} \textrm{mile}$

Now, 29 1/2 days on simplification means 29 and half day.

So, length of pipe in 29 days = $29 \times \frac{1}{8} = \frac{29}{8}$ mile

Now adding the length laid in half day = $\frac{29}{8} + \frac{1}{16} = \frac{29 (2) + 1}{16} = \frac{59}{16} \textrm{mile}$

So, in 29  1/2 days, the total pipe laid is $(\frac{59}{16})$ mile.