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A cyclist takes 2hrs less to cover a dist of 200km, if he increases his speed by 5km/hr. Find his original speed. |
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Answer» suppose the speed of the cyclist be ‘v’ km/hr , therefore the TIME TAKEN to cover 200 km will be (200/v) hr. If he increases his speed by 5 km/hr , then the distance will be covered in (200/v+5) hr.According to the question:200/v -200/(v+5) =2Taking L.C.M.1000/v(v+5) = 2ON solving the quadratic eq. , we get permissible value of v to be EQUAL to 20 km/hr. |
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