Answer:
73.92 miles
Step-by-step explanation:
Formula for calculating distance = speed × time
Rate/speed of cyclist from city A = ( x - 3 ) mph , Time Taken = 5 Hours
Rate/speed of cyclist from city B = x mph
If Cyclist from B had started moving 30 minutes later
Time Taken by cyclist from B = 4.5 Hours
If B had started 30 minutes later, then the two cyclist would have met 31.8 miles from A.
distance covered by cyclist from A = 31.8
Solution:
For city A:
distance = speed × time
31.8 = ( x - 3 ) × 5 ⇒ [tex]\frac{31.8}{5}[/tex] = x - 3
6.36 = x - 3 ⇒ x = 6.36 + 3 ⇒ x = 9.36 mph
For city B:
distance = speed × time
= 9.36 × 4.5
= 42.12 miles
Distance between A and B = 31.8 + 42.12
= 73.92 miles
