A man can walk a certain distance in 6 hours and ride back in 2 hours. If he rides both ways, he will save 2 hours. How much time will he take if he walks both ways?
Explanation:
Let W be walking time one way and R be riding time one way. W + R = 6 + 2 = 8 hours (total trip: walk one way, ride back). If he rides both ways, total time is 2R. He saves 2 hours, so 2R = 8 - 2 = 6 hours => R = 3 hours. From W + R = 8, W = 5 hours. Walking both ways takes 2W = 10 hours.
The speed of a train is 20% more than the speed of a car. Both start from city P at the same time and reach city Q, 120 km away, at the same time. On the way, the train stops for 10 minutes at various stations. What is the speed of the car?
Two cars A and B depart an intersection at the same time at right angles. A moves North at 36 km/h and B travels East at 48 km/h. Find the direct distance separating them after 30 minutes.
Explanation:
Time = 30 minutes = 0.5 hours. Distance covered by A = 36 * 0.5 = 18 km. Distance covered by B = 48 * 0.5 = 24 km. Direct distance = sqrt(18^2 + 24^2) = sqrt(324 + 576) = sqrt(900) = 30 km.
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