Question

Mario can paint a house alone in 3 days. ben can paint the same house alone in 5 days. how long would it take them to paint the house if they worked together?
1. what is the rate of work per day of ben?

2. what part of the work can ben paint in a day?

(to write th equation in a work problem, follow the pattern below.)

Part of work of mario + part of work of ben = 1

3. write the equation of the problem.__________

4. solve for the value of t then write it to the nearest whole number.______

5. state the conclusion.______
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Answer 1

The combined time taken if Mario and Ben work together will be 1.875 days.

Time taken:

• Mario alone = 3 days
• Ben alone = 5 days

Work rate :

• Rate = 1 / time taken
• Mario's rate = 1 / 3
• Ben's rate = 1/5

Their combined rate can be written thus :

• Mario's rate + Ben's rate = combined rate
• 1/3 + 1/5 = 8/15

Time taken if they work together :

• Reciprocal of combined work rate
• Combined time taken = 1 ÷ 8/15 = 15/8 = 1.875 days

Therefore, the time taken of they work together is 1.875 days

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