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Lesquirrel
03.02.2021 •
Mathematics
Se han gastado 5/9 de la capacidad de un depósito u aun quedan 108L. Cuál es la capacidad del depósito?
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Ответ:
5/9 of the capacity of a tank has been used and there are still 108L left. What is the capacity of the deposit?
Step-by-step explanation:
Ответ:
The distance is![S_1 = 45 \ miles](/tpl/images/0956/0606/c9e25.png)
Step-by-step explanation:
From the question we are told that
The speed at which Gabby rode his bike is![v = 18 \ miles / hour](/tpl/images/0956/0606/2efe4.png)
The average speed of the car is![u = 60 \ miles / hours](/tpl/images/0956/0606/3b66b.png)
The distance from Gabby's house to the parents house is![d = 435 \ miles](/tpl/images/0956/0606/b5d65.png)
The time taken for Gabby to get to his parents house is t = 9 hours
Generally the distance from Gabby's house to his parent house is mathematically reparented as
Here
is the distance from Gabby's house to his sisters house which is mathematically represented as
=> Here
is the time taken to move from Gabby's house to his sisters house
while
is the distance from his sisters house to his parents house which is mathematically represented as
So
=>![18t_1 + 60t_2 = 435 --- (1)](/tpl/images/0956/0606/9d122.png)
Generally the total time taken to arrive his parents house from his house is mathematically represented as
=>![t_1 + t_2 = 9 --- (2)](/tpl/images/0956/0606/7de5b.png)
Solving equation 1 and 2 simultaneously we have that
multiply equation 2 by 18 and equation 1 by 1
Substracting equation 3 from 4
=>![t_2 = \frac{273}{42}](/tpl/images/0956/0606/10cc8.png)
=>![t_2 = 6.5 \ hours](/tpl/images/0956/0606/25208.png)
substituting
into equation 2
=>![t_1 = 2.5 \ hours](/tpl/images/0956/0606/a0a7e.png)
So the distance from Gabby's house to his sisters house is mathematically represented as
=>![S_1 = 45 \ miles](/tpl/images/0956/0606/c9e25.png)