Nikita ran a 5-kilometer race in 39 minutes (0.65 of an hour) without training beforehand. In the first part of the race, her average speed was 8.75 kilometers per hour. For the second part of the race, she started to get tired, so her average speed dropped to 6 kilometers per hour. Which expression represents Nikita’s distance for the second part of the race? Rate (km/h) Time (h) Distance (km) Part 1 8 point 7 5 t Part 2 6 ?
Answer
A
0 point 6 5 minus t
B
6 times 0 point 6 5 minus t
C
6 t
D
6 times open paren 0 point 6 5 minus t close paren
Explanation
Nikita’s total race time was 0.65 hour. If she spent t hours on the first part, then the second part took 0.65 − t hours. Distance equals rate multiplied by time, so her distance in the second part is 6(0.65 − t) kilometers, which is choice D.
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