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Katen [24]
3 years ago
12

Two trains 100 km apart are traveling toward each other along the same track. The first train goes 50 km per hour; the second tr

ain 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 )?
Mathematics
1 answer:
dem82 [27]3 years ago
7 0

Answer:

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

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Answer:

Both the boats will closet together at 2:21:36 pm.

Step-by-step explanation:

Given that - At 2 pm boat 1 leaves dock and heads south and boat 2 heads east towards the dock. Assume the dock is at origin (0,0).

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at 2 pm boat 2 was 15 km due west of the dock because it took the boat 1 hour to reach there at 15 km/h, so the position of boat 2 at that time was (-15,0)

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Since F"(t)=0,

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Thus, The two boats will closet together at 2:21:36 pm.

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