Question

Jim can paint a house in 12 hours. Alex can paint the same house in 8 hours. Select an equation that can be used to find the time in hours , t, it would take alex and Jim to paint the house together assuming they both work at the rates they work when working alone . A 12×+8y=t. B. 12 + 8= 1/t. C. 20×=t. D. 20+1/t ​

Answer 1

Answer:

4.8 hrs. or 4 hrs.

Step-by-step explanation:

according to question

1/12 + 1/8 =1/x

2x + 3x = 24

5x = 24

x = 24/5 = 4.8 hrs 0r 4hrs and 48 min

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Answer 2

Answer:

Total time is taken to complete work,

t = 4.8 hours

The total time taken can be given by the equation -

$\frac{1}{8} +\frac{1}{12} =\frac{1}{t}$

Step-by-step explanation:

Given,

Jim can paint a house in 12 hours.

So, If we take total work to be whole means 1.

Then, Work done by Jim in 1 hour will be - $\frac{1}{12}$

Also,

Alex can paint the same house in 8 hours.

So, If we take total work to be whole means 1.

Then, the Work done by Alex in 1 hour will be - $\frac{1}{8}$

If both Jim and Alex work together then,

Total work done in an hour will be -

$\frac{1}{t} =\frac{1}{12} +\frac{1}{8}\\\\= \frac{2+3}{24} \\\\= \frac{5}{24}$

So if the total time taken to complete the work is t then,

$t = \frac{1}{\frac{5}{24} }$

$t = \frac{24}{5} = 4.8$

So the total time taken t will be,

t = 4.8 hours

The total time required can be calculated by the following formula.

$\frac{1}{8} +\frac{1}{12} =\frac{1}{t}$

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