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djyliett [7]
4 years ago
7

It takes 2 hours for faucet A to fill a tank, and it takes faucet B 3 hours. How many hours will it take the faucet to fill the

tank together
Mathematics
1 answer:
Sergeu [11.5K]4 years ago
4 0

Answer:

  1.2 hours

Step-by-step explanation:

A fills 1/2 tank per hour; B fills 1/3 tank per hour, so together they fill ...

  1/2 +1/3 = 3/6 +2/6 = 5/6 . . . . tank per hour

The reciprocal of this rate give the rate in the units we want:

  6/5 hours per tank.

__

At that rate, it will take 6/5 = 1.2 hours to fill the tank.

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Step-by-step explanation:

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Say AB is 17, BC is 25

Draw altitude on side BC from A , say h

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In ∆ ABC

Cos B = +- 7/25

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In ∆ BCD, draw altitude from D, say DE =h

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BD^2 = 16.32^2 + (25 + 4.76)^2

= 885.6576 + 266.3424

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