Complete question :
Mulder and Scully are driving to the same town. Mulder leaves the office at 9:30 a.m. averaging 51 mph. Scully leaves at 10:00 a.m., following the same path and averaging 57 mph. At what time will Scully catch up with Mulder?
Answer:
2:15 p.m
Step-by-step explanation:
Given the following :
Mulder :
Speed = 51mph
Time he left office = 9:30 a.m
Scully :
Speed = 57mph
Time she left office = 10:00 a.m
Time difference = (10:00 - 9:30)a.m = 30 minutes = half an hour = 0.5 hour
Let Scully's travel time when she catches up = s
Therefore, Mulder's time at the same moment = (s + 0.5)
Recall:
distance = speed × time
Hence,
Scully's distance : 57 * s = 57s
Mulder's distance : 51 * (s + 0.5)
Equating both :
57s = 51(s + 0.5)
57s = 51s + 25.5
57s - 51s = 25.5
6s = 25.5
s = 25.5 / 6
s = 4.25 hours
Hence scully will catch up with Mulder after 4.25 hours
10:00am + 4.25 hours = 2:15p.m
-3 since parallel lines have equal slopes
-6.875 is greater because it is closer to zero (being positive). Think about it as the opposite way or positive numbers. If they were both positive, the answer would be 6.89, because they are greater than zero.
Answer:
60
Step-by-step explanation:
There are 2+5 = 7 ratio units of students. If we multiply the numbers by 5, we can have a total of 35 ratio units of students: 10 : 25.
Now, we can substitute this into the ratio of teachers to students:
teachers : students = 3 : 35
teachers : (male students : female students) = 3 : (10 : 25)
Then the number of teachers is seen to be 3/25 of the number of female students:
(3/25)(500) = 60 . . . teachers