1. A men covered a certain distance of one side by cycle and other side by scooter in 2 hours 20 minutes. If he had covered the total distance by cycle then time consumed was 3 hours 30 minutes. In what time he can cover the distance by scooter ?
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By: anil on 05 May 2019 01.42 am
Let the total distance = $$2x$$ km , then distance of one side = x km Let speed of cycle = $$c$$ km/hr and speed of scooter = $$s$$ km/hr Acc. to ques, => $$frac{2x}{c} = 3 frac{1}{2}$$ => $$frac{x}{c} = frac{7}{4}$$ Also, $$frac{x}{c} + frac{x}{s} = 2 frac{1}{3}$$ => $$frac{7}{4} + frac{x}{s} = frac{7}{3}$$ => $$frac{x}{s} = frac{7}{3} - frac{7}{4} = frac{7}{12}$$
Since, total distance = $$2x$$, multiplying both sides by 2, we get : => $$frac{2x}{s} = frac{7}{6}$$ Thus, total time taken to cover the distance by scooter = $$frac{7}{6} imes 60 = 70$$ minutes = 1 hr 10 minutes
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Since, total distance = $$2x$$, multiplying both sides by 2, we get : => $$frac{2x}{s} = frac{7}{6}$$ Thus, total time taken to cover the distance by scooter = $$frac{7}{6} imes 60 = 70$$ minutes = 1 hr 10 minutes