Respuesta :
Answer:
200 % is the answer.
Explanation:
Toni makes x be apple pies .
and Jane works for y hours.
therefore, he makes x apple pies in y hours
which implies he makes [tex]\frac{x}{y}[/tex] apple pies per hour
Now with help of an assistant:
Toni makes 60% more apple pies i.e. x + 0.6x = 1.6x apple pies
works 20% less i.e. y - 0.2y = 0.8y hours
therefore, now together they make 1.6x/0.8y apple pies per hour [tex]\frac{\frac{1.6x}{0.8y} }{\frac{x}{y} } X 100[/tex]
simplifying we get
200
Hence % increase in output PER HOUR is 200.
Answer: η = 200 %
Explanation:
When Toni bakes alone, we have this: Toni bakes n apple pies in a time frame of t
This is mathematiclly expressed as:
output = produce/time
produce = n, time = t
output 1 = n/t -------------------- Eqn 1
When Toni bakes with an assistant, we have this: Toni bakes 60% more apple pies in a time frame shorter by 20%
This is mathematiclly expressed as:
produce = n + 0.6 n = 1.6 n, time = t - 0.2 t = 0.8 t
output 2 = 1.6 n/0.8 t --------------- Eqn 2
η = 100% x output 2/output 1
η = 100% x [tex]\frac{1.6 n}{0.8 t}[/tex]/([tex]\frac{n}{t} \\[/tex])
η = 200 %
