Sam can mow a lawn in 40 minutes. Rocky can mow the same lawn in 120 minutes. How long does it take for both Sam and Rocky to mow the lawn if they are working together? Express your answer as a reduced fraction.

It will take 30 minutes to mow the lawn if Sam and Rocky work together.

Step-by-step explanation:

Given : Time taken by Sam to mow the lawn = 40 minutes

Time taken by Rocky to mow tha lawn = 120 minutes.

If they work together , then the time taken by them is given by :-

Hence, it will take 30 minutes to mow the lawn if Sam and Rocky work together.

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.