Acommercial fishermen a, working alone, takes 4 hours longer to run the hoop nets than it takes fisherman b working alone. together they can run the hoop nets in 5 5/6 hours. how long does it take each working alone?

A takes 14 hours and B takes 10 hours in working alone.

Step-by-step explanation:

Let the time taken by B alone = x hours,

One hour work of B =

∵ fishermen A, working alone, takes 4 hours longer to run the hoop nets than it takes fisherman B working alone.

So, the time taken by A alone = (x+4) hours,

One hour work of A =

Thus, total one hour when A and B work simultaneously =

Since, together they take hours

Total one hour work =

 ( Middle term splitting )

By zero product property,

3x + 7 = 0 or x - 10 =0

⇒ x = -7/3 ( not possible ) or x = 10

Hence, time taken by B = 10 hours,

Time taken by A = 10 + 4 = 14 hours

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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