A pirate in search of a treasure hikes three days in a row. He hikes 12.5 km to his destination on the first day, 18 km to his destination on the second day, and 14 km to his destination on the third day. He hikes 1 km/h slower on the first day than on the second day, and 1 km/h faster on the first day than on the third day. The third day's hike takes 30 minutes longer than the second day's hike. How long does the pirate search (across all three days) if he spends 2 hours digging for treasure at each destination?

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

-2

7 - 9 = -2

reversed:

-2 + 9 = 7

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet