It takes three hours for a manuscript to be typed, five hours for a manuscript to be typed, and the efficiency ratio of a and B is 1

It takes three hours for a manuscript to be typed, five hours for a manuscript to be typed, and the efficiency ratio of a and B is 1


For a job, Party A needs to finish it in three hours, and Party B needs to finish it in five hours. The efficiency ratio of Party A and Party B is (5:3)
If you have any questions, please help me!



A manuscript, originally planned to finish in 5 hours, only took 4 hours, work efficiency increased by several percent?


(14 − 15) △ 15, = 120 △ 15, = 25%, a: the work efficiency has been increased by 25%



For a manuscript, Xiao Wang originally planned to finish it in 4 hours, but the actual work efficiency was one fourth higher than the original plan. How many hours did it actually take to finish it?
Arithmetic, equation


1 analysis
In this topic, the work quantity is 1, the planned work time is 4 hours, and the planned work efficiency is 1 / 4; the actual work efficiency is one fourth higher than the original plan "1 / 4", that is, the "1 / 4 * 1 / 4 = 1 / 16" is increased to "1 / 4 + 1 / 16 = 5 / 16", so as to obtain the actual work time;
2 Formula:
Quantity = working time * working efficiency
3 arithmetic: 1 / (1 / 4 + 1 / 4 * 1 / 4) = 16 / 5 = 3.2 hours
Equation 4: let x hours be used,
(1/4+1/4*1/4)X=1
X = 3.2 hours
A: it took 3.2 hours to type this manuscript
The crux of the problem is that it is a quarter higher than the original plan



A manuscript, originally planned to finish in 5 hours, only took 4 hours, work efficiency increased by several percent?


(14 − 15) △ 15, = 120 △ 15, = 25%, a: the work efficiency has been increased by 25%