Question

Two cities are building bicycle paths. Charles City has built 5 km of bicycle paths by the end of the first month, and the total length of the paths doubles each month. Tinsel Town has built 21 km of bicycle paths by the end of the first month, and the total length of the paths increases by 5 km per month. In which month will the total length of the bicycle paths in Charles City first exceed the length in Tinsel Town?

Answer 1

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its 4

Answer 2

Answer:

Month 4

Step-by-step explanation:

In the first month, Charles City has built 5 km and Tinsel Town has built 21 km

Since it doubles each month, by the end of the second month, Charles City has built 5(2) = 10 km.  Tinsel Town increases by 5 each month; by the end of the month it has built 21+5 = 26 km.  It is still higher than Charles City.

By the end of the third month, Charles City has built 10(2) = 20 km.  Tinsel Town has built 26+5 = 31 km.  It is still higher than Charles City.

By the end of the fourth month, Charles City has built 20(2) = 40 km.  Tinsel Town has built 31+5 = 36 km.  It is now lower than Charles City.