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

In 29 1/2 days, the total pipe laid is
`((59)/(16))` mile.

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)

=
`(1)/(2)  * (1)/(8)  = (1)/(16)  \textrm{mile}`

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

So, length of pipe in 29 days =
`29 * (1)/(8)  = (29)/(8)` mile

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

So, in 29 1/2 days, the total pipe laid is
`((59)/(16))` mile.