Luke and Joshua work at a dry cleaners ironing shirts. Luke can iron 35 shirts per

hour, and Joshua can iron 25 shirts per hour. Luke worked 3 more hours than Joshua

and they ironed 345 shirts between them. Determine the number of hours Luke

worked and the number of hours Joshua worked.

Luke worked

hours and Joshua worked

hours.

Step-by-step explanation:

Let x be the number of hours worked by Joshua.

Shirts ironed by Joshua in an hour = 25

Number of shirts ironed by Joshua in x hours = 25x

The number of hours worked by Luke = (x + 3) hours

Shirts ironed by Luke in an hour = 35

No. of shirts ironed by Luke in x hours = 35 * (x + 3) = 35x+35*3 = 35x + 105

No. of shirts ironed by Luke and Joshua = 345

25x + 35x + 105 = 345

60x = 345 - 105

60x = 240

x = 240/60

x = 4 hours

The number of hours worked by Joshua = 4 hours

The number of hours worked by Luke = 4 + 3 = 7 hours