A person cycles from hostel to college at a speed of 15 kmph and reaches 2.5 minutes late. If he cycles at a speed of 20 kmph and he reaches early by 2.5 minutes. Find the distance between hostel and college. (in KM) ?->(Show Answer!)

1. A person cycles from hostel to college at a speed of 15 kmph and reaches 2.5 minutes late. If he cycles at a speed of 20 kmph and he reaches early by 2.5 minutes. Find the distance between hostel and college. (in KM)

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By: anil on 05 May 2019 01.13 am

Let ideal time taken = $$t$$ hours Also, speed is inversely proportional to time. => $$frac{15}{20}=frac{t-frac{2.5}{60}}{t+frac{2.5}{60}}$$ => $$15t+frac{2.5}{4}=20t-frac{2.5}{3}$$ => $$20t-15t=frac{2.5}{4}+frac{2.5}{3}$$ => $$t=frac{7.5+10}{60}=frac{17.5}{60}$$ $$ herefore$$ Distance = speed $$ imes$$ time = $$15 imes(frac{17.5}{60}+frac{2.5}{60})$$ = $$frac{20}{4}=5$$ km => Ans - (A)

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