P P,Q and R can finish a task in 8, 10 and 12 hours respectivly.They started working together but after 3 hours, P and R left. How long will Q take to finish the task now?​

Detail it

Respuesta :

Answer:

45 minutes

Step-by-step explanation:

Assume task completed in total x hours

[tex]\frac{x}{10} + \frac{3}{8} + \frac{3}{12} = 1 \\ 12x + 45 + 30 = 120 \\ 12x = 45 \\ x = \frac{15}{4} = 3 \frac{3}{4}[/tex]

So q will take 45 more minutes