1. A car travels from city A to city B at an average speed of 60 km/ hr and reaches city B on time. If the car reduces its speed to 50 km/hr, it takes 16 minutes more to reach city B. What is the distance between city A and city B ? (In kilometre)
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By: anil on 05 May 2019 01.40 am
Let time taken by the car to reach city B by travelling at 60 km/hr = $$t$$ hrs => Time taken to reach city B by travelling at 50 km/hr = $$(t + frac{16}{60})$$ hrs $$ecause spped propto frac{1}{time}$$ => $$frac{s_1}{s_2} = frac{t_2}{t_1}$$ => $$frac{60}{50} = frac{t + frac{16}{60}}{t}$$ => $$6t = 5t + frac{16}{12}$$ => $$6t - 5t = t = frac{4}{3}$$ hrs $$ herefore$$ Distance between city A & B = speed $$ imes$$ time = $$60 imes frac{4}{3} = 80$$ km
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