It is known that a particular project can be completed by nine employees working eight hours a day for twenty five days. To speed completion of the project in a particular town, the supervisor is being provided with twelve workers, and is being asked to complete the project in fifteen days. How many hours a day must the employees worl each day, in order to finish on time?

In order to wipe out the whole job, it takes

(9 persons) x (8 hours/day) x (25 days)  =  1,800 person-hours .

12 workers working for 15 days will accomplish

(12 persons) x (H hours/day) x (15 days)  =  180H person-hours  of work.

180H person-hours  =  1,800 person-hours

H = 10

The 12-person team must work 10 hours/day to make this scheme all work out.  

What'll really happen:  

-- In order to keep tabs on the project and make sure it gets done on the accelerated schedule, the managers in Chicago in suits will assign the supervisor to complete the project in 14 days instead of 15, and they'll require him to send them a status report twice each day.

-- After completing and emailing the Noon status report each day, the supervisor will put on his hard-hat and PPE, and head out to work alongside the 12 sweating workers, who will all begin to sag when they pass 9 hours each day.

-- Day #12 will be solid torrential rain, and no progress will be possible.  The men will want to get some rest, but Chicago will call a Zoom meeting to deliver a motivational pep-talk. Attendance will be mandatory.

-- Days #13 and #14 will stretch to 12 hours, but the project will finish in the allotted 14 days.

-- On Day #15, in Chicago, the customer will treat the managers to a fine dinner, drinks, and a Bulls game, in appreciation for completing the project in 15 days.  In the field, the supervisor and the 12 workers will get to sleep in for a whole hour later than usual, before they clean up the job site and begin the long drive home.

(Been there. Done that.)

answer: slight chance that it will happen

step-by-step explanation:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.