Answer: 10.2 meters per hour; or, write as: 10 ⅕ meters per hour. ___________________________________________ Explanation: _____________________________________ Note: "h" = time in "hour(s)" ; "cm" = length in "centimeter(s)" ; "min" = time in "minute(s)"; "m" = length in "meter(s)" _____________________________________ Note these EXACT conversions: _________________________________ 100 cm = 1 m ; 60 min = 1 h ; _________________________________ To solve:
Given: 17 cm / min ; convert to: ________ m / h __________________________________________________ (17 cm / min)* (1 m /100cm) * (60 min / 1 h) = _______ m / h __________________________________________________ The "cm" units cancel to "1"; the "min" units cancel to "1" and we are left with units of "m/h" {"meters per hour"}. ___________________________________ We are left with (17 *1 m * 60) / (100 * 1 h) = [(17 * 60) m] / [100 h] = [(17 *60) / 100 ] meters per hour. ________________________________________________________ To simply: (17 * 60) / 100 ; _________________________ Method 1): To simplify: (17 * 60) / 100 ;
→Rewrite as: (17*60) / 100 = (17*20*3)/(20*5) ; →Cancel out the "20's "; and rewrite as:
→ 60÷10 = 6 ; 100÷10 =10; and rewrite—replace the "60" with a "6"; and replace the "100" with a "10" ; ____________________________ → (17*60)/100 = (17*6)/10 = 102/10
= 10.2 meters per hours; or, write as: 10 ⅕ meters per hour. ____________________________________________________
