Question

Diana worked on her science project for 513 hours. Gabe worked on his science project 114 times as long as Diana. Paula worked on her science project 34 as long as Diana. How long did Gabe and Paula work on their projects?

Answer 1

Gabe worked for 6 2/3 hours and Paula worked for 4 hours.

Explanation:

It is given that,

Diana worked on her science project for 5 1/3 hours.

Gabe worked on his science project 1 1/4 times as long as Diana.

Paula worked on her science project 3/4 as long as Diana.

Solution,

ATQ,

Gabe worked for :

`5(1)/(3)* 1(1)/(4)\\\\=(16)/(3)* (5)/(4)\\\\=(20)/(3)\ h\\\\=6(2)/(3)\ h`

Pauls worked for :

`(3)/(4)* 5(1)/(3)\\\\=(3)/(4)* (16)/(3)\\\\=4\ h`

Hence, Gabe worked for 6 2/3 hours and Paula worked for 4 hours.