Shrija Roy wrote:

18. If 45 people built 1/2 of a pyramid in 288 days, how many days did it take 65 people to build the next 1/6 the

pyramid, rounded to the nearest integer, assuming each person works at the same constant rate?

45 people built 1/2 in 288 days.

So they will take 288*2 days for 1 pyramid.

=576 days

1 person will take 576*45 days or in 1 day, a person will do 1/576*45 of work.

so

65 people will build 65*1/576*45th of pyramid in one day.

For building 1/6th of pyramid it will take,

1/6 = 65*1/576*45 * y where y is number of days.

Solving for y, given 64 as closest integer.

Please share the official answer. Also if there is a shorter way to answer this question would help me as well.