Mike is 7.5 miles ahead of julia running at 5.5 miles per hour and julia is running at the speed of 6 miles per hour.How long do
es it take julia to catch mike.
The answer is 15 hours but I am unsure as to why,can someone explain?
1 answer:
Answer:
15 hours.
Step-by-step explanation:
Suppose the time taken to catch Mike is t hours and the distance ran by Mike is x miles then
5.5 = x/ t (Mike) --- ...(1)
6 = (x +7.5 )/ t (Julia ).......(2)
From equation (1):
x = 5.5t ..............(3).
From equation (2):
x + 7.5 = 6t
x = 6t - 7.5............(4).
Eliminating x from equations 3 and 4:
6t - 7.5 = 5.5t
0.5t = 7.5
t = 15 hours.
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