on tuesday,rasheed rode to school from his home at an average speed of 12km/h and arrived 5 min late.on wednesday,rasheed rode to school from his home at an average speed of 18km/h and arrived 10 min earlier.how far does rasheed live from school. give explaination in answer.

Asked by dev | 19th Nov, 2014, 08:37: AM

Expert Answer:

begin mathsize 14px style on space tuesday comma rasheed space rode space to space school space from space his space home space at space an space average space speed space of space 12 km divided by straight h space and space arrived space 5 space min space late. straight v subscript 1 equals fraction numerator 12 cross times 10 cubed over denominator 60 cross times 60 end fraction equals 12 cross times 5 over 18 equals space straight m divided by straight s straight d equals 10 over 3 cross times open parentheses straight t plus 5 space min close parentheses equals 10 over 3 cross times left parenthesis straight t plus 300 space sec right parenthesis space space space space space left parenthesis straight i right parenthesis space space space space left parenthesis since space rasheed space arrived space 5 space min space late right parenthesis on space wednesday comma rasheed space rode space to space school space from space his space home space at space an space average space speed space of space 18 km divided by straight h space and space arrived space 10 space min space earlier. straight v subscript 2 equals fraction numerator 18 cross times 10 cubed over denominator 60 cross times 60 end fraction equals 18 cross times 5 over 18 equals 5 space straight m divided by straight s straight d equals 5 cross times open parentheses straight t minus 10 space min close parentheses equals 5 cross times left parenthesis straight t minus 600 space sec right parenthesis space space space space space space space left parenthesis ii right parenthesis space space space space left parenthesis since space rasheed space arrived space 10 space min space earlier right parenthesis but space the space distance space travelled space on space tuesday space and space wednesday space would space be space same thus comma space comparing space eq. space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis 10 over 3 cross times left parenthesis straight t plus 300 space sec right parenthesis space equals 5 cross times left parenthesis straight t minus 600 space sec right parenthesis space 4000 equals open parentheses fraction numerator 15 minus 10 over denominator 3 end fraction close parentheses straight t 5 straight t equals 12000 straight t equals 2400 space sec substituing space straight t space in space eq. space left parenthesis ii right parenthesis straight d equals 5 cross times left parenthesis 2400 minus 600 space sec right parenthesis space straight d equals 5 cross times 1800 equals 9000 space straight m straight d equals 9 space km Hence comma space Rasheed space lives space 9 space km space far space from space the space school. end style

Answered by Priyanka Kumbhar | 19th Nov, 2014, 09:39: AM