Respuesta :
Answer:
At 01:45 pm machine Y will finish the work.
Step-by-step explanation:
Machine X can make 3 widgets in 1.5 hours.
So per hour production of machine X = [tex]\frac{3}{1.5}=2[/tex] widgets
Let rate of production of machine Y = y gadgets per hour
Now it is given that machines X and Y can make 7.5 widgets in 2.5 hours.
So per hour rate of production by both the machines = [tex]\frac{7.5}{2.5}=3[/tex] widgets per hour
Then production rate of machine X + production rate of machine Y = Rate of production by both the machines X and Y
2 + y = 3
y = 3 - 2
y = 1 widget per hour
Both the machines started working at the same time and they produced 3.5 widgets.
Then time taken by machine X with the rate 2 widgets per hour = [tex]\frac{3.5}{2}=1.75[/tex] hours
If machine X finished at noon then the time at which both the machines started working = 12 : 00 - 1 hour 45 minutes
= 10 : 15 am
Time taken by machine Y with the rate 1 widget per hour = [tex]\frac{3.5}{1}=3.5[/tex] hours
So the time by which machine Y will finish = 10:15 am + 3.5 hours
= 01:45 pm
Therefore, at 01:45 pm machine Y will finish the work.
