Brianna started a business making customized dog beds. She can make one bed every two hours. Wesley had a similar business, but used a different method. He can make two beds every threehours. They decided to combine their business ventures and received their first order for 49 beds from a local shop. How many hours will be required to fill the order?

It will take them 42 hours

Step-by-step explanation:

Brianna rate = one bed for 2 hours

But for one hour = 0.5 bed per hour

Wesley rate = two bed for 3 hours

For one hour= 2/3 bed per hour

So their total rate for one hour

= 1/2 +2/3

= 7/6 bed per hour

If they received an order of 49 beds

It will take them x hours

Rate= bed/hour

7/6= 49/x

X= 49/(7/6)

X= 49 * 6/7

X= 7*6

X= 42 hours