A machine produces 49 titanium bolts every 2 hours. At this rate how many bolts does the machine produce in 36 minutes?
49/120 = x/36
Solve for x.
To find the number of bolts the machine produces in 36 minutes, we need to convert the time from minutes to hours.
There are 60 minutes in one hour. So, to convert 36 minutes to hours, we divide by 60:
36 minutes ÷ 60 = 0.6 hours
Now we know that 36 minutes is equivalent to 0.6 hours.
Next, we can calculate the number of bolts the machine produces in 0.6 hours by setting up a proportion:
49 bolts / 2 hours = x bolts / 0.6 hours
To find the value of x, we cross-multiply:
2 hours * x bolts = 49 bolts * 0.6 hours
2x = 29.4
Dividing both sides of the equation by 2:
x = 29.4 / 2
x = 14.7
Therefore, at this rate, the machine produces approximately 14.7 titanium bolts in 36 minutes.