Word Problems: Travel and Distance Solvers

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A freight train leaves a station travelling at 30 mph A passenger train leaves 1 hours later travelling at 50 mph. At what time will the passenger train overtake the freight train?

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A plane takes 6 hours to fly from San Francisco to New York, and 5 hours to return back. The airplane's airspeed is 550 miles per hour, from New York to San Francisco. The reason why it takes the airplane longer to go West than East is because of a wind with constant wind speed. What is the speed of wind.

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The fastest moving insect is the large tropical cockroach. It scurries at speeds of up to 2.3 feet per second. Now write an equation that represents how many miles a roach can travel in 1.5 hours.

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Jim and Sarah who are hiking in wilderness, decide to leave their tent and walk around a lake. They start going in the opposite directions. Jim hikes at the rate of 3 miles per hour. Sarah hikes at the rate of 2 miles per hour. The perimeter of the lake is 10 miles. How long will it be before they meet?

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At the same moment, two trains leave Chicago and New York. They move towards each other with costant speeds. The train from Chicago is moving at speed of 40 miles per hour, and the train from New York is moving at speed of 60 miles per hour. The distance between Chicago and New York is 1000 miles. How long after their departure will they meet?

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A plane takes 6 hours to fly from San Francisco to New York, and 5 hours to return back. The wind velocity is 50 miles per hour, from New York to San Francisco. What is the speed of the airplane.


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A barge has speed over water of 5 miles per hour. A river flows downstream at the speed of 1 miles per hour. How long will it take the barge to go from point A to point B upstream, and then back, if the distance from A to B is 24 miles?

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