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In Math / Junior High School | 2024-09-10

Kirby can paint a room in 2 hours and his friend Reyna mae can paint the same room in 5 hours. if they will work together, how long would it take them to paint the room?​

Asked by meryjoybumagat

Answer (2)

Answer:2 hours 30 minutes at math

Answered by seangabrielbecbec | 2024-09-10

Answer:To find out how long it would take Kirby and Reyna Mae to paint the room together, you can use the concept of work rates. Here's how you can solve it:1. **Determine individual work rates:** - Kirby can paint the room in 2 hours. So, his work rate is \(\frac{1 \text{ room}}{2 \text{ hours}} = 0.5 \text{ rooms per hour}\). - Reyna Mae can paint the room in 5 hours. So, her work rate is \(\frac{1 \text{ room}}{5 \text{ hours}} = 0.2 \text{ rooms per hour}\).2. **Add their work rates together:** \[ \text{Combined work rate} = 0.5 + 0.2 = 0.7 \text{ rooms per hour} \]3. **Calculate the time taken to paint one room together:** \[ \text{Time} = \frac{1 \text{ room}}{\text{Combined work rate}} \] \[ \text{Time} = \frac{1}{0.7} \approx 1.43 \text{ hours} \]So, working together, Kirby and Reyna Mae can paint the room in approximately **1.43 hours**, which is about 1 hour and 26 minutes.

Answered by bautistaryza402 | 2024-09-10