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yanalaym [24]
3 years ago
8

2 water taps A B fill a tank in 12 hrs. Tap A takes 10 hrs less than tap B to till tank separately. Find time taken by tap B to

till tank
Mathematics
1 answer:
Hatshy [7]3 years ago
5 0

Answer:

11 hours

Step-by-step explanation:

Setting up a system of equations and using the substitution method will give you the number of hours used by each tap.  Let a = time for tap A and b = time for tap B:

a + b = 12  (A and B fill a tank in 12 hours)

a = b - 10 (tap A takes 10 hours less than tap B)

Substitute 'b - 10' for 'a' in the first equation:

b - 10 + b = 12

Combine like terms: 2b - 10 = 12

Add 10 to both sides: 2b - 10 + 10 = 12 + 10 or 2b = 22

Divide by 2: 2b/2 = 22/2

Solve for b: b = 11 hours

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<u>Answer</u><u>:</u>

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<u>Explanation</u><u>:</u>

x + 2 = 7/8x - 15

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Read 2 more answers
Ella Buys a book and a pen for $14. The cost of the book is two dollars more than twice the cost of the pen. Write a system of l
Vilka [71]

Answer: The book costs $10 and the pen costs $4✔️

Step-by-step explanation:

Let B the cost of the book and let P the cost of the pen.

Then we know:

The book and the pen cost $14:

B + P = $14 } Equation 1  

We also know:  

The cost of the book is two dollars more than twice the cost of the pen.

B = 2P + $2 } Equation 2  

Now we can substitute the value of B from the equation 2 in the equation 1:

2P + $2 + P = $14

3P = $14 - $2 = $12

P = $12/3 = $4 , cost of the pen

Since we know the value of B from the equation 2, we can calculate B:

B = 2P + $2 = 2x$4 + $2 = $8 + $2 = $10 , cost of the book

Answer: The book costs $10 and the pen costs $4✔️

<h3>Verify </h3>

We can substitute these values in equations 1 and 2 and check the results:

B + P = $14 } Equation 1

$10 + $4 = $14 ✔️check!

B = 2P + $2 } Equation 2  

$10 = 2x$4 + $2 = $8 + $2 = $10 ✔️check!

<h2><em>Spymore</em></h2>
5 0
3 years ago
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