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Home / Doubts and Solutions/ICSE/Class 9/Mathematics

In 8 hrs C walks 3 Km more than D does in 6 hrs and in 7 hrs D walks 9 Km more than C does in 6 hrs;  how many kilometere does each walk in an hour?

Asked by Asfaque 8th May 2016, 10:53 PM
Answered by Expert
Answer:
Let space space straight C space walks space straight x space km space in space 1 space hour space and space straight D space walks space straight y space km space in space 1 space hour In space 8 space hrs space straight C space walks space 3 space Km space more space than space straight D space does space in space 6 space hrs 8 straight x space minus space 6 straight y space equals space 3......................... left parenthesis straight i right parenthesis space In space 7 space hrs space straight D space walks space 9 space Km space more space than space straight C space does space in space 6 space hrs 7 straight y space minus space 6 straight x space equals space 9......................... left parenthesis ii right parenthesis Adding space eq space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis space we space get space 2 straight x space plus space straight y space equals space 12 straight y space equals space 12 space minus space 2 straight x................. left parenthesis iiii right parenthesis Substitute space left parenthesis iii right parenthesis space in space left parenthesis straight i right parenthesis space we space get 8 straight x space minus 6 left parenthesis 12 space minus space 2 straight x right parenthesis space equals space 3 8 straight x space minus 72 space plus 12 space straight x space equals space 3 20 straight x space equals space 75 straight x space equals 15 over 4.............. left parenthesis iv right parenthesis Substitute space left parenthesis iv right parenthesis space in space left parenthesis iii right parenthesis space we space get straight y space equals space 12 space minus space 2 open parentheses 15 over 4 close parentheses straight y space equals 12 minus 15 over 2 straight y space equals space 9 over 2 Hence comma space straight C space walks space 15 over 4 space km space in space space one space hour space and space space straight D space walks space 9 over 2 space km space in space one space hour.
Answered by Expert 9th May 2016, 11:11 AM
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