document.write( "Question 774000: The distance between Station A and Station B is 30 miles. A truck starts from A towards B. A bird starts at the same time from B straight towards the moving truck. On reaching the truck, it instantaneously turns back and returns to B. The bird makes these journeys from B to the truck and back to B continuously till the truck reaches B. The bird finally returns to B and rests. Calculate the total distance in miles the bird travels if:\r
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document.write( "The bird flies at 20 miles per hour and the speed of the truck is 30 miles per hour. \n" );
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Algebra.Com's Answer #472014 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The distance between Station A and Station B is 30 miles. \n" ); document.write( " A truck starts from A towards B. A bird starts at the same time from B straight towards the moving truck. \n" ); document.write( " On reaching the truck, it instantaneously turns back and returns to B. \n" ); document.write( " The bird makes these journeys from B to the truck and back to B continuously till the truck reaches B. \n" ); document.write( " The bird finally returns to B and rests. \n" ); document.write( " Calculate the total distance in miles the bird travels if: \n" ); document.write( "The bird flies at 20 miles per hour and the speed of the truck is 30 miles per hour. \n" ); document.write( ": \n" ); document.write( "The bird flies slower than the speed of the truck. When it flies from B to the \n" ); document.write( "truck, it falls behind the truck, it never again lands on the truck, therefore: \n" ); document.write( "let t = travel time for the bird and the truck to meet \n" ); document.write( "30t + 20t = 30 \n" ); document.write( "50t = 30 \n" ); document.write( "t = 30/50 \n" ); document.write( "t = .6 hrs \n" ); document.write( "the birds travels .6(20) = 12 miles \n" ); document.write( "return to B is 12 miles so the bird travels 24 miles, the truck is long gone \n" ); document.write( " |