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'k' Cycled From A To B At 10 Kmph And Returned At The Rate Of 9 Kmph. 'l' Cycled Both Ways At 12 Kmph. In The Whole Journey 'l' Took 10 Minutes Less Than 'k'. Find The Distance Between A And B ? |
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Answer» Let 'd' be the distance between A and B K -time = d/10 + d/9 = 19d/90 hours L -time = 2d/12 = d/6 hours We know that, 10 min = 1/6 hours Thus, time difference between K and L is given as 10 MINUTES. => 19d/90 - d/6 = 1/6 => (19d-15d)/90 = 1/6 => 4d/90 = 1/6 Thus, d= 15/4 km = 3.75 km. hence the distance between A and B is 3.75 km. Let 'd' be the distance between A and B K -time = d/10 + d/9 = 19d/90 hours L -time = 2d/12 = d/6 hours We know that, 10 min = 1/6 hours Thus, time difference between K and L is given as 10 minutes. => 19d/90 - d/6 = 1/6 => (19d-15d)/90 = 1/6 => 4d/90 = 1/6 Thus, d= 15/4 km = 3.75 km. hence the distance between A and B is 3.75 km. |
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