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

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step-by-step explanation:

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