Katalin drove 300 miles on her vacation. She drove an average of 1.9 times faster on the second 150 miles of her trip than she did on the first 150 miles of her trip. Which expression represents the time she spent driving? Let x = her speed on the first half of the trip.

Question

mathstudent55 · Answer

t1 is the time the first 150 miles took.
t2 is the time the second 150 miles took.

average speed = distance/time

150 mi/t1 = x            first 150 mi
150 mi/t2 = 1.9x       second 150 mi

t1 = 150 mi/x
t2 = 150 mi/1.9x

Total time, t = t1 + t2 = 150 mi/x + 150 mi/(1.9x)

mathstudent55 · Answer

Do you have choices?

anonymous · Answer

457.89/x

228.95/x

228.95x

435/x

mathstudent55 · Answer

The answer is 
150/x + 150/1.9x
= 150/x * 1.9/1.9 + 150/1.9x
= 285/1.9x + 150/1.9x
= 435/1.9x
= 228.95/x

anonymous · Answer

thank you

mathstudent55 · Answer

wlcm