Tony worked 4 2 _ project. Sonia worked 1 1 _ 3 hours on his science 4 times as long on her science project as Tony did. For how many hours did Sonia work on her science project?

Complete question :

Tony worked 4 2/3 on his science project. Sonia worked 1 1/4 times as long on her science project as Tony did. For how many hours did Sonia work on her science project?

5 5/6 hours

Step-by-step explanation:

Given the following :

Hours worked by Tony = 4 2/3 hours

Sonia worked 1 1/4 times as long as Tony did.

Number of hours worked by Sonia:

(Hours worked by Tony) × number of times Sonia worked than Tony

(4 2/3) × (1 1/4)

(14 / 3) hours × (5/4)

= (14 * 5) / (3 * 4)

= 70 / 12

= 5 10/12

= 5 5/6 hours

Hence, Sonia worked for 5 5/6 hours on her science project.

3

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