Question

1. the time t required to drive a certain distance varies inversely with the speed r. if it takes 2 hours to drive the distance at 30 miles per hour, how long will it take to drive the at 35 miles per hour?

about 1.71 hours
525 hours
60 hours
about 2.33 hours

Explanation:

Step1: Encontrar la distancia

La distancia \( d \) se calcula con la fórmula \( d = v \times t \). Dado \( v = 30 \) mph y \( t = 2 \) horas, entonces \( d = 30 \times 2 = 60 \) millas.

Step2: Calcular el nuevo tiempo

La relación es inversa, así que \( t = \frac{d}{v} \). Ahora, \( d = 60 \) millas y \( v = 35 \) mph, entonces \( t = \frac{60}{35} \approx 1.71 \) horas.

Answer:

about 1.71 hours