Bob drove 120 miles on his vacation. He drove an average of 1.2 times faster on the second 60 miles of his trip than he did on the first 60 miles of his trip. Which expression represents the time he spent driving? Let x = his speed on the first half of the trip.

5 answers

The time he spent driving is equal to the sum of the time he spent driving on the first 60 miles and the time he spent driving on the second 60 miles:

Time = Time on first 60 miles + Time on second 60 miles

To find the time on each segment, we can use the formula:

Time = Distance / Speed

Time on first 60 miles = 60 / x
Time on second 60 miles = 60 / (1.2x) = 50 / x

The expression for the total time is:

Time = 60/x + 50/x = (110/x) hours

Note that the distance on the second 60 miles is only 50 miles since Bob drove 1.2 times faster, meaning he covered the distance in less time.
please select your answers from one of these choices.
A. 110 over x
B. 120 over x
C. 132 times x
D. 132 over x
A. 110 over x
Simplify. start fraction x over 7 x plus x squared end fraction
A. Start Fraction 1 over 7 plus lower x End Fraction semicolon where lower x does not equal negative 7
B. Start Fraction 1 over 7 lower x End Fraction semicolon where lower x does not equal zero
C. Start Fraction 1 over 7 plus lower x End Fraction semicolon where lower x does not equal zero comma negative 7
D. start fraction 1 over 7 end fraction
A. Start Fraction 1 over 7 plus lower x End Fraction; where lower x does not equal negative 7