Question

Sydney and Riley work at a dry cleaners ironing shirts. Sydney can iron 15 shirts per hour, and Riley can iron 10 shirts per hour. Riley worked 5 more hours than Sydney and they ironed 150 shirts between them. Determine the number of hours Sydney worked and the number of hours Riley worked.

Answer 1

Answer:

Sydney worked for 4 hours and Riley worked for 9.

Step-by-step explanation:

We should add the amount of shirts that both Riley and Sydney per hour as the variables, and since we know that Riley worked 5 more hours than Sydney we can add the amount of shirts that Riley can do per hour (10) times the extra amounts of hours that the problems says she does (5).

This is the equation:

15x+10x+50=150

Solving it we get:

25x+50=150

25x=100

x=4.

So, this shows that Sydney worked for 4 hours ironing shirts and since Riley worked for 5 more hours than Sydney, 4+5=9. Riley worked for 9 total hours.

Answer 2

The number of hours Sydney worked is 3 hours and the number of hours Riley worked is 3 hours.

What is the relation between work and time?

The total time taken is inversely proportional to the rate of work. If a unit of work is done in total n number of days, then the total work done in a day can is,

$W=\dfrac{1}{n}$

Sydney and Riley work at a dry cleaners ironing shirts. Sydney can iron 15 shirts per hour and Riley can iron 10 shirts per hour.

Let suppose Sydney worked x hours and Riley worked y hours. Riley worked 5 more hours than Sydney. Thus,

$x=y+5$                       .......1

They ironed 150 shirts between them. Thus,

$15x+10y=150\\3x+2y=30$

Put the value of x in this equation,

$3(y+5)+2y=30\\3y+15+2y=30\\5y=30-15\\y=\dfrac{15}{5}\\y=3\rm\; hrs$

Put this value in equation 1 as,

$x=3+5\\x=8$

Hence, the number of hours Sydney worked is 3 hours and the number of hours Riley worked is 3 hours.

Learn more about the work and time here;

https://brainly.com/question/25572872