math

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a tank can be filled by one pipe in 3
.5 hours and emptied by another in 4.2 hours.if both ipes are running, how long will it take to fill an empty tank?

  • math -

    in work problems like this, think of the amount of work each person can do in the unit of time.

    if pipe a can fill the tank in 3.5 hours, then in one hour it can fill 1/3.5 of the tank.

    The other pipe b can fill 1/4.2 of the tank in one hour.

    So, in one hour, both pipes working together can fill up

    1/3.5 + 1/4.2 = 0.5238 of the tank

    So, to fill the whole tank, it will take 1/.5328 hours, or 1.90909 = 1 10/11 hours

    In general, if various workers can do the job in a,b,c,... units of time, then working together they can do it in n units of time:

    1/n = 1/a + 1/b + 1/c + ...

  • math -

    I see I misread the problem. It was answered correctly later on

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