Two trains 100 km apart are traveling toward each other along the same track. The first train goes 50 km per hour; the second train rushes along at 80 km per hour. A fly is hovering just above the nose of the first train. It buzzes from the first train to the second train, turns around immediately, flies back to the first train, and turns around again. It goes on flying back and forth between the two trains until they collide. If the fly's speed is 120 km per hour, how far will it travel (how much distance it will cover before colliding) ?

Question

Mathematics

Rylie Hodge

14 March, 18:07

Two trains 100 km apart are traveling toward each other along the same track. The first train goes 50 km per hour; the second train rushes along at 80 km per hour. A fly is hovering just above the nose of the first train. It buzzes from the first train to the second train, turns around immediately, flies back to the first train, and turns around again. It goes on flying back and forth between the two trains until they collide. If the fly's speed is 120 km per hour, how far will it travel (how much distance it will cover before colliding) ?

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Answers (1)

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Roselyn Warren · Answer 1

92.31 km

Step-by-step explanation:

Combined speed = 50+80

= 130 km/hour

Time = 100/130 = 10/13 hours to collide

Speed * time = distance

distance = 10/13 * 120

= 92.30769231 km