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Arisa [49]
3 years ago
14

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 m

any hours did the trip take?
Mathematics
2 answers:
quester [9]3 years ago
4 0

Answer:

The answer to your question is: time = 4 hours

Step-by-step 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

vladimir2022 [97]3 years ago
3 0

Answer:

Let the number of hours traveled by train be "x".

The x = the number of hours traveled by plane.

-------------------------------------------------

Equation:

train distance + plane distance = 1300 miles

50x + 275x = 1300

x(325) = 1300

x = 4 hours

---

The trip took 8 hrs.

Step-by-step explanation:

Trust me

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