Sam takes x minutes to walk from home to the library and 5 minutes more to walk from the library to school than from home to the library. (a) Express the total time taken for Sam to walk from home to school via the library in terms of x. (b) On a certain day, he took 14 minutes to walk from home to the library. How long did he take to walk from home to school via the library on that day?
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Answer:
(a) The total time taken for Sam to walk from home to school via the library can be expressed as:
Total time = time from home to library + time from library to school
Total time = x + (x+5)
Total time = 2x + 5
Therefore, the total time taken for Sam to walk from home to school via the library is 2x + 5.
(b) If Sam took 14 minutes to walk from home to the library, we can substitute x = 14 into the expression we derived in part (a):
Total time = 2x + 5
Total time = 2(14) + 5
Total time = 28 + 5
Total time = 33
Therefore, Sam took 33 minutes to walk from home to school via the library on that day.