Jose drove 300 miles on his vacation. He drove an average of 1.5 times faster on the second 150 miles of his trop than he did on the first 150 miles of his trip. How much time did he spend driving? Let x = his speed on the first half of the trip.

Question

Mathematics

Uriah Liu

13 July, 09:24

Jose drove 300 miles on his vacation. He drove an average of 1.5 times faster on the second 150 miles of his trop than he did on the first 150 miles of his trip. How much time did he spend driving? Let x = his speed on the first half of the trip.

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Answers (1)

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Teresa Mcdonald · Answer 1

total time = 250/x

Step-by-step explanation:

Jose drove 300 miles on his vacation. He drove an average of 1.5 times faster on the second half of the trip. The time he spent driving can be calculated as follows.

The first half of the trip

distance = 150 miles

time = ?

speed = x

speed = distance/time

time = distance/speed

time = 150/x

The second half of the trip

distance = 150 miles

time = ?

speed = 1.5x

time = distance/speed

time = 150/1.5x

Total time travelled = 150/x + 150/1.5x

total time = 150/x + 100/x = 150 + 100 / x = 250/x

total time = 250/x