SOLUTION: Tom took a trip of 1,300 miles. He traveled by train at 50 miles an hour and the same number of hours by plane at 275 mph. How many hours did the trip take?

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Question 263122: Tom took a trip of 1,300 miles. He traveled by train at 50 miles an hour and the same number of hours by plane at 275 mph. How many hours did the trip take?
Found 3 solutions by drk, stanbon, dabanfield:
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
This is an RTD question . Here is a chart based on the above information:
mode . . . . . . . . rate . . . . . . . . . .time . . . . . . . . . .distance
plane. . . . . . . . .275. . . . . . . . . . . t. . . . . . . . . . . . . .275t
train. . . . . . . . . 50 . . . . . . . . . . . .t. . . . . . . . . . . . . .50t
totals. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1300
look at last column, we get
275t+%2B+50t+=+1300
325t+=+1300
t+=+4+hrs
4x2 = 8 hours.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Tom took a trip of 1,300 miles. He traveled by train at 50 miles an hour and the same number of hours by plane at 275 mph. How many hours did the trip take?
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Let the number of hours traveled by train be "x".
The x = the number of hours traveled by plane.
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Equation:
train distance + plane distance = 1300 miles
50x + 275x = 1300
x(325) = 1300
x = 4 hours
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The trip took 8 hrs.
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Cheers,
Stan H.

Answer by dabanfield(803) About Me  (Show Source):
You can put this solution on YOUR website!
Tom took a trip of 1,300 miles. He traveled by train at 50 miles an hour and the same number of hours by plane at 275 mph. How many hours did the trip take?
Let t be the time needed for the trip. Then since distance = rate*time:
1300 = (t/2)*50 + (t/2)*275
Solve the above for t.