Question

One man works for 5 hours a day for 10 days and completes a piece of work. One boy works for 8 hours for 20 days to complete the same job. What is the ratio of their efficiencies?

Answer 1

Answer:

1:2 and 8:20

Step-by-step explanation:

Answer 2

Given:

One man completes a piece of work by working 5 hours a day for 10 days.

One boy completes a same work by working 8 hours a day for 20 days.

To Find:

The ratio of their efficiencies.

Solution:

One man took 50 hours to complete a piece of work.

One boy took 160 hours to complete the same job.

Tm = 50 hours

Tb = 160 hours

The efficiency ratio,

Total Work Done = Number of Days × Efficiency

Efficiency = Total work done/ number of hours   ----------(1)

Total work done by man and boy is same

Let Em and Eb be the efficiency of man and boy respectively.

Em/Eb = Tb/Tm

           = 160/50

           = 16/5

Em:Eb = 16:5

Therefore, The ratio of their efficiency is 16:5.

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