Tributaries

We can fill the pool with two different tributaries. The first inflow would fill the pool in 18 hours, both in 6 hours. How many hours would the pool fill with a second inflow?

Correct answer:

t₂ =  9 h

Step-by-step explanation:

$$\begin{gathered} t_1=18\text{ h } \\ t=6 \\ t\cdot (1\mathrm{/}{t}_1+1\mathrm{/}{t}_2)=1 \\ t\cdot (t_2\mathrm{/}{t}_1+1)=t_2 \\ 6\cdot (t_2\mathrm{/}18+1)=t_2 \\ 12t_2=108 \\ {t}_2=9\text{ h} \end{gathered}$$

Try another example

Related math problems and questions:

• Tributaries
  The first tributary fill pool with water in 15 hours. The second tributary fill pool in 10 hours. For how many hours the pool is filled with both tributaries?
• Two tributaries
  Two tributaries of the pool fill it in 10 hours. One of the tributaries would fill 15 hours. How long would fill the first tributary?
• Pool
  Pool is filled with two water supply. The first supply fill pool for nine hours, the second for six hours. How many hours will take fill the pool when the water flows in through the first supply 3 hours and then we will open a second supply?
• Three tributaries
  It is possible to fill the pool with three tributaries. The first would take 12 hours, the second 15 hours, and the third 20 hours. The day before the summer season began, the manager opened all three tributaries simultaneously. How long did it take to fi
• Pool 2
  The first supply by the pool fill for five hours and the second fill for six hours, drain should be drained for 15 hours. For how many hours the pool is full, when we open both inlet now and outlet open two hours later?
• Three pumps
  We are filling the pool. The first pump would be filled in 12 hours, the second pump in 15 hours. If all three pumps were running at the same time, it would fill the pool for 4 hours. How long would the pool fill only with the third pump?
• Sprayers
  The vineyard can be sprayed first sprayer in 5 hours and with the second in 8 hours. How long would it take if we use sprayers both at once?
• Two workers
  The first worker would himself completed the work in 8 hours, the other in 6 hours. After two hours of joint work, the worker left the first worker to a doctor, and others completed the work himself. How many hours worked the other worker himself?
• Work together
  Two bricklayers plastering a wall. The first would plaster it in 8 hours, the second in 12 hours. How many hours will they be done with the work if they work together?
• Two looms
  On two different looms with different performance can be make required quantity of textile in 6 hours when both work together. On the first machine this quantity of the textile can make in 10 hours. How long should take make same quantity of textile on a
• The factory
  The factory z can complete an order in 12 days, factory p in 18 days. How many days does an order completed when the first two days work only the factory z and then both factories?
• Pool
  If water flows into the pool by two inlets, fill the whole for 19 hours. The first inlet filled pool 5 hour longer than the second. How long pool take to fill with two inlets separately?
• Pumps 3
  Two pumps of the same power fill the garden pool for 10 hours. How many of these pumps would have to use if we want to shorten the filling of the pool to four hours?
• The dam
  The water reservoir is filled with first tributary for 25 hours second tributary for 35 hours. Some time were both inlets open, then a second tributary closed and the tank was filled in four hours. What time water flowed from both tributaries? (Expressed
• Water pool
  Pool with volume 990hl completely filled, if water flows by one tap 8 hours and by second tap 6 hours. First tap give 10hl more than second per hour. How many hl flows in each of them in an hour?
• Parquet floor
  Three workers laid parquet floor for 2.301 hour. The first one would do this work alone 7 hours, the second in 6 hours. For how many hours would fulfill this work the third worker, if he worked alone?
• Oil tank and pipes
  The underground oil tank can be filled by two oil pipelines. The first is filled in 72 hours and the second in 48 hours. How many hours from the moment when first pipeline began to fill the oil is it necessary to start filling it with the second to fill i