Home / Assignment Help / Every day Carla sets aside time to work on the novel she is writing. Carla wrote 2 manuscript pages in 5 hours. If she keeps writing at this rate, how many pages will she write in 12.5 hours

Every day Carla sets aside time to work on the novel she is writing. Carla wrote 2 manuscript pages in 5 hours. If she keeps writing at this rate, how many pages will she write in 12.5 hours

Answer:

3 hours.          

Step-by-step explanation:

Let x be the time taken by shoe repairman to repair one pair.

We have been given that his assistant, who takes twice as long to repair a pair of shoes. So time taken by his assistant to repair one pair of shoes would be 2x.

The number of pair of shoes repaired by repairman in one hour would be frac{1}{x}.

The number of pair of shoes repaired by assistant in one hour would be frac{1}{2x}.

We have been given that together they can fix 16 pairs of shoes in an eight-hour day. We can represent this information in an equation as:

frac{1}{x}+frac{1}{2x}=frac{8}{16}

frac{1}{x}+frac{1}{2x}=frac{1}{2}

Let us have a common denominator.

frac{2*1}{2*x}+frac{1}{2x}=frac{1}{2}

frac{2}{2x}+frac{1}{2x}=frac{1}{2}

frac{2+1}{2x}=frac{1}{2}

frac{3}{2x}=frac{1}{2}  

Upon cross multiplying our equation we will get,

2x*1=3*2

2x=3*2

frac{2x}{2}=frac{3*2}{2}

x=3

Therefore, it take 3 hours for the repairman to fix one pair of shoes by himself.

About eduhawks

Check Also

Why did the 2000 presidential election recount in Florida go on for weeks

Why did the 2000 presidential election recount in Florida go on for weeks

Leave a Reply

Your email address will not be published. Required fields are marked *