Question

chiamaka is 149 km from the university and drives 95 km closer every hour. valente is 170 km from the university and drives 110 km closer every hour.
let t represent the time, in hours, since chiamaka and valente started driving toward the university.
complete the inequality to represent the times when valente is closer than chiamaka to the university.
t select inequality symbol hours

Explanation:

Step1: Define distance functions

Chiamaka's distance: $149 - 95t$
Valente's distance: $170 - 110t$

Step2: Set up inequality for Valente closer

$$170 - 110t < 149 - 95t$$

Step3: Rearrange to isolate t terms

$$170 - 149 < 110t - 95t$$

Step4: Simplify both sides

$$21 < 15t$$

Step5: Solve for t

$$t > \frac{21}{15} = 1.4$$

Answer:

$t > 1.4$ hours