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### Discussion :: Time and Work

1. How many workers are required for completing the construction work in 10 days?

I .20% of the work can be completed by 8 workers in 8 days.

II. 20 workers can complete the work in 16 days.

III.One-eighth of the work can be completed by 8 workers in 5 days.

2.  A. I only B. II and III only C. III only D. I and III only E. Any one of the three

Answer : Option E

Explanation :

I.$$\frac { 20 } {100 }$$work can be completed by (8 x 8) workers in 1 day.

Whole work can be completed by (8 x 8 x 5) workers in 1 day.

=$$\frac { 8*8*5 } {10 }$$workers in 10 days = 32 workers in 10 days.

II. (20 x 16) workers can finish it in 1 day

.$$\frac { (20*16) } { 10 }$$workers can finish it in 10 days.

32 workers can finish it in 10 days.

III.$$\frac { 1 } { 8 }$$work can be completed by (8 x 5) workers in 1 day.

Whole work can be completed by (8 x 5 x 8) workers in 1 day.

=$$\frac { 8*8*5 } {10 }$$workers in 10 days = 32 workers in 10 days.

Any one of the three gives the answer.

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