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mars1129 [50]
3 years ago
13

Suppose two trains leave a certain​ station, at the same​ time, traveling in opposite directions. One train travels 1010 mph fas

ter than the other. In 4.54.5 ​hours, the trains are 459459 miles apart. Find the speed of each train.
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
3 0

Answer: speed other the slower train is 46 mph.

speed other the faster train is 56 mph.

Step-by-step explanation:

Let x represent the speed of the slower train. One train travels 10 mph faster than the other. This means that the speed of the faster train is (x + 10) mph.

In 4.5 ​hours, the trains are 459 miles apart. This means that the total distance travelled by both trains in 4.5 hours is 459 miles.

Distance = speed × time

Distance travelled by the slower train in 4.5 hours is

4.5 × x = 4.5x

Distance travelled by the faster train in 4.5 hours is

4.5(x + 10) = 4.5x + 45

Since the total distance covered is 459 miles, therefore,

4.5x + 4.5x + 45 = 459

9x = 459 - 45 = 414

x = 414/9

x = 46 mph

Speed of the faster train is

46 + 10 = 56 mph

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