Written on 12:12 am by Vja Students
Rama and Krishna wanted to take a vacation. They were debating how they could get to their hotel in the fastest manner. Rama said, "We should go by train." But Krishna said, "No, the train reaches the end of the line half way to the hotel -- we would have to walk the rest of the way. We should bike to the hotel instead." Rama disagreed. So Krishna biked the whole way to the hotel, while Rama took the train for the first half of the journey and walked for the remainder.
Ans:The speed of the train turned out to be four times that of the bike's speed. The bike's speed turned out to be two times faster than walking speed. Who got to the hotel first?
If the biking is twice as fast as walking, the time it takes to bike the whole way is equal to the time it takes to walk half the way. So if the train's speed is anything shy of infinite, biking will still be faster.
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Krishna would reach earlier
Assuming that the distance is 40 km and the speed of train 20km/hr, Rama would reach halfway in 1 hour.
Bike's Speed = 1/4th of train speed = 5 km/hr;
Walking Speed = 1/2 of bike speed = 2.5 km/hr.
Rama takes 1 + 20/2.5 = 9 hrs to complete the journey.
Krishna takes 40/5 = 8 hrs to complete the ride. So
the biker i.e Krishna reaches first.
both will reach there simulteneously