Question

Ryan is building a treehouse . It will take 85 & 1/4 hours to complete. He can work on the tree house 15 & 1/2 hours each week . To the nearest tenth , how many weeks will it take Ryan to complete the tree house

Answer 1

5 1/2 weeks

Explanation:

Given

Time it will take to complete the building = 85 1/4 hrs

Time he works on the house weekly = 15 1/2 hours

This can be expressed as

1 week = 15 1/2 hours

To calculate the number of weeks it will take to complete the house, we will say:

x = 85 1/4

Cross multiply

15 1/2 x = 85 1/4

31/2 x = 341/4

31x/2 = 341/4

Cross multiply again

31x * 4 = 2 * 341

124x = 682

x = 682/124

x = 5.5weeks

Hence it will take Ryan 5 1/2 weeks to complete the house.