Question

HELP ASAP PLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLS

Answer 1

Answer: 12 h ; 45 m

Step-by-step explanation:

*Important: From what I can see in this image, this appears to be a test. If this is the case, please do not cheat. In any case, here is the explanation.

What we know:

• Progress has been made to 4.75
• Rate of digging is 3/5 mph
• Depth must be at least 12 1/2
• We need to find the minimum amount of time the machine works

How to solve:

By setting up an algebraic equation, we can solve this.

Process:

• Set up equation                            4.75 + 3/5x = 12 1/2
• Convert                                          19/4 + 3/5x = 12 1/2

                                                                95/20 + 12/20x = 250/20

• Subtract                                           -95/20                 -95/20

                                                                               12/20x= 155/20

• Isolate x via division                                       /(12/20) /(12/20)
• +Simplify                                                          

                                                                                         x= 12 11/20

• Convert                                                                    12 h 33 m

Solution: 12 ; 45