Distance Question?

Question

An Instructor and a student are driving. The student is driving 1 and a half times faster than the instructor. At the end of 3 hours the student is 45 miles ahead of the instructor. What is their distance, time and rate. The question is a d=rt (distance=rateX time)

Answer 1

Let x be the speed of the instructor
relative speed of the two = (1 1/2 - 1)x = 1/2x
x/2 * 3 = 45
x = 30
so the instructor speed is 30 mph, after 3 hr distance = 90mi
student = 45mph after 3 hr = 135 mi

Answer 2

let x be the speed of the instructor. Then 1.5x is the speed of the student

Distance of student - distance of the instructor = 45 miles

distance = speed * time

Instructor
d = 3x

student
d = 3(1.5x)

3(1.5x) - 3x = 45
4.5x - 3x = 45
1.5x = 45
x = 30 mi/hr

the speed of the instructor is 30 mi/hr
speed of the student is 30*1.5 = 45 mi/hr

instructor:
d = 30*3 = 90 miles

student
d = 45*3 = 135 miles

Answer 3

i've got been in 2. One did no longer artwork, yet i think of it became much less because of the area and greater because of the fact i became 18 and not feeling like being tied to a minimum of one guy or woman. the different definitely labored extraordinarily nicely till after very almost a twelve months we lastly lived interior the comparable city, lol. returned, nonetheless, that one ended for motives thoroughly unrelated to the area, because of the fact by the time it ended we've been residing decrease than 2 miles from one yet another. edit: lol @ Siar

Answer 4

________speed____time____distance
Student__ 1.5 s_____3_______d1
Instructor__s_______3_______d2
d1 = 4.5 s
d2 = 3 s
d1 - d2 = 1.5s
1.5s = 45
s = 45 / 1.5 = 30 mph

Student:
speed = 45 mph.
distance = 135 miles
time = 3 hours

Instructor:
speed = 30 mph
distance = 90 miles
time = 3 hours