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nevsk [136]
3 years ago
13

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 t

he 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.
Mathematics
2 answers:
marusya05 [52]3 years ago
5 0
V = x ( his speed on the first half of the trip )
1.2 v = 1.2 x ( his speed on the second half of the trip )
t = d / v
t = 60 / x + 60 / 1.2 x = 60/ x + 50 / x = 110 / x
Answer: A ) 110 / x
katrin [286]3 years ago
5 0

Answer:

\frac{110}{x}

Step-by-step explanation:

Given,

Total distance = 120 miles,

Here x represents Bob's speed on the first half of the trip( 60 miles ).

Time=\frac{Distance}{Speed}

So, the time taken in first half = \frac{60}{x}

Now, He drove an average of 1.2 times faster on the second half than first half,

⇒ His speed in second half = 1.2 x,

So, the time taken in second half = \frac{60}{1.2x}

Hence, the total time taken by him = the time taken in first half + the time taken in second half

=\frac{60}{x}+\frac{60}{1.2x}

=\frac{72+60}{1.2x}

=\frac{132}{1.2x}

=\frac{1320}{12x}

=\frac{110}{x}

Which is the required expression.

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