Katalin drove 180 miles on her vacation. She drove an average of 1.5 times faster on the second 90 miles of her trip than she did on the first 90 miles of her trip. Which expression represents the time she spent driving? Let x = her speed on the first half of the trip.
A) 300/x
B) 150/x
C)150x
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B) 150/ x represents the time she spent driving .
Step-by-step explanation:
Let x = her speed on the first half of the trip.
distance covered in first half = 90 miles
time = distance / speed
= 90 / x ..........eq 1
for second half speed = 1.5 x
distance covered in second half = 90 miles
time = distance / speed
= 90 / 1.5 x
= 60 / x .......eq 2
total time spent = time 1 +time 2
= 90/x + 60 / x
= 150/x
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