1.

A group of 10 people can finish a certain work in 15 days. If a group of 5 people who are 30% more efficient are added to the group, how many days approximately will be saved?1). 12 days2). 3 days3). 9 days4). 6 days

Answer»

Let the total amount of work be X

Work done by one person in 15 days = X/10

Work done by one person in one day = X/150

A person who is 30% more efficient will be able to do 30% more work in one day.

Work done by more efficient person in one day = (1 + 0.3) × (X/150) = 1.3X/150

Now in total there are 15 people in the group and HENCE we have 10 PERSONS who can finish X/150 work in one day and 5 who can finish 1.3X/150 in one day.

Total work that can be FINISHED in one day = 10 × (X/150) + 5 × (1.3X/150) = 16.5X/150

∴ Time taken to finish the work = 150/16.5 = 9.09 days = 9 days

∴ Days saved = 15 - 9 = 6 days


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