Whitney left school and drove 7 miles to meet her mother at a restaurant. Her mother left at the same time and drove 8 miles, traveling 5 miles faster then her daughter. If the two arrived at the restaurant at the same time, what was whitney's speed

Respuesta :

Let's write the cinematic equation for Whitney and her mother.
 We have then:
 For Whitney:
 
d = v * t
 7 = v * t
 For her mother:
 
d = (v + 5) * t
 8 = (v + 5) * t
 Where,
 v: speed
 t: time
 We have then how the time is the same:
 7 / v = 8 / (v + 5)
 We cleared v:
 7 (v + 5) = 8v
 7v + 35 = 8v
 8v-7v = 35
 v = 35 mph
 Answer:
 
whitney's speed is:
 
v = 35 mph