SOLUTION: Tom's home is 1,800 m from his school. One morning he walked part of the way to school and then ran the rest. If it took him 20 minutes or less to get school, and he walks at 70m/m

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Tom's home is 1,800 m from his school. One morning he walked part of the way to school and then ran the rest. If it took him 20 minutes or less to get school, and he walks at 70m/m      Log On


   

Question 478304: Tom's home is 1,800 m from his school. One morning he walked part of the way to school and then ran the rest. If it took him 20 minutes or less to get school, and he walks at 70m/min. and runs 210m/min how far did he run?
Answer by lwsshak3(11628) About Me  (Show Source):
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Tom's home is 1,800 m from his school. One morning he walked part of the way to school and then ran the rest. If it took him 20 minutes or less to get school, and he walks at 70m/min. and runs 210m/min how far did he run?
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let x=meters Tom ran
1800-x=meters Tom walked
Travel time=distance/speed
x/210+(1800-x)/70=20
LCD=210
x+3(1800-x)=4200
x+5400-3x=4200
-2x=-1200
x=600
ans:
Tom ran for 600 m