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victus00 [196]
3 years ago
5

A freight train travels at 30 mph. If the freight train is 300 miles ahead of an express train traveling at 55 mph, how long wil

l the express train take to overtake the freight train?
Which equation could be used to find the number of miles the trains will travel?

A. 30x = 55(x + 300)

B. x÷30 = (x - 300)÷55

C. x÷30 = (x + 300)÷55
Mathematics
2 answers:
melisa1 [442]3 years ago
4 0
Distance<-------------300--------------><-------------------x----------------->
          ⊕---------------------------------⊕--------------------------------------⊕                      Express                                  Freight                            Overtaking point
   Speed 55                              speed 30

Let x be the distance travelled by Freight until the point of overtaking
Time = Distance/Speed, then:

Time (freight) = Distance (fright)/Speed (freight) And
Time (Express) = Distance (Express)/Speed (Express).
Now plug in the relative number:

Time (freight) = x/30  and Time (express) = (x+300)/55. But note that both times are equal, then:
x/30 = (x+300)/55 OR (x÷30 = (x+300)÷55) [Answer C]
Now let's find the distance x. Cross multiplication;

55x= 30(300+x) →55x = 9,000 + 30x
55x - 30x = 9,000 → 25x = 9,000 and x = 9,000/25 = 360 miles
Time needed for Freight to travel 360 m = 360/30= 12 Hours
Time needed for Express to travel (300+360) m = 660/55= 12 Hours
As you see, it's the same time of 12 hours
Don't forget that Distance = Speed x time or time = Distance/Speed, etc.

noname [10]3 years ago
4 0

Answer:

The answer is C. x÷30 = (x + 300)÷55

Step-by-step explanation:


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