Beau charges a $10 base fee plus $5 per hour to mow yards. Jaime charges a $12 base fee plus $4.50 per hour. At what time will beau and Jaime be charging the same total fee?

After 40 hours.

Step-by-step explanation:

Let, after x hours both will charge the same total fees,

The amount charged by Beau = Base fees + the money for x hours

= 10 + 5 x

Similarly the amount charged by Jaime = Base fees + The money for x hours

= 12 + 4.50 x

⇒ 10 + 5x = 12 + 4.50x

⇒ 5x - 4.5x = 12 - 10

⇒ 0.5x = 2

⇒ x = 40

Hence, after 40 hours they will charge the same fee.