A musical instrument company reduced the time it takes for a worker to build a guitar. Before the reduction it took 5 hours. Now in 7 hours they can build 3 guitars. By how much did they reduce the time it takes to build each guitar?
7 h /3 g = 2 1/3 hours/guitar
5 - 2 1/3 = ?
To find out by how much the time to build each guitar was reduced, we need to compare the initial time it took to build a guitar with the new time it takes to build a guitar.
Initial time to build one guitar = 5 hours.
New time to build one guitar = [(7 hours) / (3 guitars)] = 7/3 hours.
To calculate the reduction in time, we subtract the new time from the initial time:
Reduction in time = Initial time - New time
= 5 hours - 7/3 hours
To simplify the calculation, we convert the initial time to the same denominator as the new time:
Initial time in terms of thirds = 5 hours × (3/3) = 15/3 hours
Now we can calculate the reduction in time:
Reduction in time = (15/3 hours) - (7/3 hours)
= (15 - 7) / 3 hours
= 8/3 hours
Therefore, the time it takes to build each guitar was reduced by 8/3 hours, which is approximately 2 hours and 40 minutes.