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vagabundo [1.1K]
3 years ago
14

Pumps A, B and C operate at their respective constant rates. Pumps A and B, simultaneously, can fill a certain tank in 6/5 hours

. Pump A and C, operating simultaneously, can fill the tank in 3/2 hours; abd pumps B and C, operating simultaneously, can fill the tank in 2 hours. How many hours does it take pumps A, B, and C, operating simultaneously, to fill the tank?(A) 1/3(B) 1/2(C) 2/3(D) 5/6(E) 1
Mathematics
1 answer:
Alex Ar [27]3 years ago
7 0

[NOTE: NO OPTION MATCHES THE ANSWER because values provided are wrong but I have solved the qyestion with the given values for your understanding, If B and C will take 1/2 hours then the answer will be 1 that is Option E]

Answer:

Pumps A and B,

A + B = 5/6

Pumps A and C,

A + C = 3/2

Pumps B and C,

B + C = 2

Now we have to find

A + B + C = ?

For this we will add all of the above equations from both sides.

A+B + A+C +B+C = 5/6 + 3/2 + 2

Taking LCM on R.H.S,

2A + 2B + 2C = (5+9+12)/6

2(A+B+C) = 26/6

2(A+B+C)= 13/3

A+B+C = 13/6

It will take 13/6 hours if A,B and C are pumped simultaneously.

[NOTE: NO OPTION MATCHES THE ANSWER because values provided are wrong but I have solved the qyestion with the given values for your understanding, If B and C will take 1/2 hours then the answer will be 1 that is Option E]

Step-by-step explanation:

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Read 2 more answers
Decomponha os seguintes números a) 1.585 = b) 1.059= c) 2.440 d) 5.329 e) 8.801 f) 9.999 g) 3.718 h) 6.840 i) 7.504 j) 5.225 1)
vlada-n [284]

Answer:

a) 1.585 =1.0 + 0.5+ 0.08+0.005

b) 1.059= 1 .0+ 0.0+ 0.05+0.009

c) 2.440 = 2.0 + 0.4+ 0.04

d) 5.329= 5.0 + 0.3+ 0.02+0.009

e) 8.801 = 8.0 + 0.8+ 0.00+0.001

f) 9.999= 9.0 + 0.9+ 0.09+0.009

g) 3.718 = 3.0 + 0.7+ 0.01+0.008

h) 6.840= 6.0 + 0.8+ 0.04

i) 7.504 = 7.0 + 0.5 +0.004

j) 5.225 = 5.0 + 0.2+ 0.02+0.005

1) 4.063 = 4.0 + 0.0+ 0.06+0.003= 4+0.06+0.003

m) 2.597= 2 .0+ 0.5+ 0.09+0.007

Step-by-step explanation:

A medida que nos alejamos del punto decimal, el número de ceros aumenta y el dígito se mueve hacia la derecha.

Los valores después del decimal se denominan décimas, centésimas y milésimas.

a) 1.585 =1.0 + 0.5+ 0.08+0.005

b) 1.059= 1 .0+ 0.0+ 0.05+0.009

c) 2.440 = 2.0 + 0.4+ 0.04

d) 5.329= 5.0 + 0.3+ 0.02+0.009

e) 8.801 = 8.0 + 0.8+ 0.00+0.001

f) 9.999= 9.0 + 0.9+ 0.09+0.009

g) 3.718 = 3.0 + 0.7+ 0.01+0.008

h) 6.840= 6.0 + 0.8+ 0.04

i) 7.504 = 7.0 + 0.5 +0.004

j) 5.225 = 5.0 + 0.2+ 0.02+0.005

1) 4.063 = 4.0 + 0.0+ 0.06+0.003= 4+0.06+0.003

m) 2.597= 2 .0+ 0.5+ 0.09+0.007

The values after the decimal are called tenths hundredths and thousandths

6 0
3 years ago
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