Question

Krystal drove at an average speed of 50 mi/h from her home in Houston to visit her sister in Philadelphia.

She stayed in Philadelphia 25 hours, and on the trip back averaged 60 mi/h. She returned home 46 hours
after leaving. How many miles is Houston from Philadelphia?
a) Write an equation using the information as it is given above that can be solved to answer this question.
Use t as your variable to represent the amount of time Krystal spent driving from Houston to Philadelphia.
Equation:
b) How many miles is Houston from Philadelphia?
Answer:
miles
Give your answer to the nearest mile

Answer 1

Answer: a. The equation using the information as it is given above that can be solved to answer this question is:

distance = speed x time

Let t be the amount of time Krystal spent driving from Houston to Philadelphia.

distance = 50t + 60(46 - 25 - t)

b. To find the distance between Houston and Philadelphia, we can substitute the known values into the equation and solve for t.

distance = 50t + 60(46 - 25 - t)

distance = 50t + 60(21) - 60t

distance = 50t + 1260 - 60t

distance = -10t + 1260

To find the total distance, we can set t = 25

distance = -10(25) + 1260

distance = -250 + 1260

distance = 1010

Therefore, Houston is 1010 miles from Philadelphia, to the nearest mile.

Explanation: