if a jet printer prints an articlae in 12 minutes and a laser printer prints the same in 29 minutes if they work together how many minutes

t = 12*29 / (12+29) = 8.49min.

Or
1/t = 1/12+1/29 = 0.1178,
t = 1/0.1178 = 8.49min.

post.

To find out how long it would take for a jet printer and a laser printer to print the article together, you need to calculate their combined printing rate. By determining the rate at which each printer completes a single article, you can then add those rates together to get the combined rate.

Let's denote the printing rate of the jet printer as "Rj" (which is the reciprocal of the time taken by the jet printer) and the printing rate of the laser printer as "Rl" (which is the reciprocal of the time taken by the laser printer).

Rj = 1 article / 12 minutes
Rl = 1 article / 29 minutes

Now, to find the combined rate of the two printers working together, you simply add their rates:

Rj + Rl = 1/12 + 1/29

To add these fractions, you need to find a common denominator. The least common multiple (LCM) of 12 and 29 is 348. Therefore:

Rj + Rl = (1/12) * (29/29) + (1/29) * (12/12)
= 29/348 + 12/348
= 41/348

This means that the combined printing rate of the two printers is 41 articles per 348 minutes.

To find out how long it would take for the two printers to print one article together, you can now calculate the reciprocal of the combined rate:

1 article / (41/348) minutes

To divide by a fraction, you multiply by its reciprocal:

1 * (348/41) minutes
= 348/41 minutes

After simplifying the fraction, you would find that the two printers working together would take approximately 8.49 minutes to print the article.

So, the answer is that it would take approximately 8.49 minutes for the jet printer and the laser printer to print the article together.