A tank when full can be emptied by an outlet pipe A in $5.6$ hours, while an inlet pipe B can fill the same empty tank in $7$ hours. If pipes A and B ...

Question

A tank when full can be emptied by an outlet pipe A in $5.6$ hours, while an inlet pipe B can fill the same empty tank in $7$ hours. If pipes A and B are operated alternately for $1$ hour each, starting with pipe A when the tank is full, how long will it take to empty the tank?

Options

A.

56 hours56 \text{ hours}

B.

55 hours55 \text{ hours}

C.

48 hours48 \text{ hours}

D.

47 hours47 \text{ hours}

time and workpipes and cisternsalternating work

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