SOLUTION: Two cars leave City A at the same time to travel to City B. One car travels at 72 km/h and other at 78 km/h. If the slower car arrives 20 min. after the faster car, how far apart a

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Question 318285: Two cars leave City A at the same time to travel to City B. One car travels at 72 km/h and other at 78 km/h. If the slower car arrives 20 min. after the faster car, how far apart are City A and City B?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Two cars leave City A at the same time to travel to City B.
One car travels at 72 km/h and other at 78 km/h. If the slower car arrives 20 min
after the faster car, how far apart are City A and City B?
:
Let d = distance from City A, to City B
:
Change 20 min to 1%2F3 hr
:
slow car time - fast car time = 20 min
d%2F72 - d%2F78 = 1%2F3
Multiply equation by 5616 (78*72), results
78d - 72d = 1872
:
6d = 5616
:
d = 1872%2F6
d = 312 mi
;
:
Check solution
312%2F72 - 312%2F78 =
13%2F3 - 12%2F3 = 1%2F3