Question

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?

Answer 1

The answer to your question is: time = 4 hours

Explanation:

Data

Total distance = 1300 miles

train v = 50 mi/h time is the same distance = x

plane v = 275 mi/h distance = 1300 - x

t = ?

Formula

v = d/t

Process

Train t = d/v t = x / 50

Plane t = d/ v t = (1300 - x) / 275

x / 50 = (1300 - x) / 275

275 x = 50 (1300 - x)

275 x = 65000 - 50x solve for x

275x + 50x = 65000

325x = 65000

x = 65000/325

x = 200

Time with train

t = 200 / 50 = 4 hours

Time with plane

t = (1300 - 200) / 275

t = 1100 / 275 = 4 hours

Answer 2

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.

Explanation:

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