Step-by-step explanation:
Distance between Train 1 and Train 2=95 miles
Avg speed Train 1 = 45mph, avg speed Train 2=60mph
If both trains leave at the same time and travel toward each other but on parallel tracks, in how much time will their engines be opposite each other?
:
Let t = travel time (in hrs) until they are opposite each other
:
Like the hint said, when this happens the total distance traveled by both trains will be 95 mi.
:
write a distance equation from this fact: Dist = speed * time
;
Train 1 dist + train 2 dist = 95 mi
45t + 60t = 95
:
105t = 95
t = 95%2F105
t = .90476 hrs
or
.90476 * 60 = 54.3 min
:
:
Check solution by finding the total of the distances the two train travel
45(.90476) + 60(.90476) =
40.7 + 54.3 = 95 mi
A compound fraction is simplified by multiplying the numerator by the reciprocal of the denominator fraction. This process is repeated as often as necessary at every level of the fraction.
Examples:
(a/b)/(c/d) = (ad)/(bc)
a/(b/c) = (ac)/b
(a/b)/c = a/(bc)
_____
When the fraction has numerators or denominators that are fractions, you need to be very clear about what is being divided by what. If it isn't clear by the typesetting (length or boldness of fraction bars), then parentheses are required around numerators and around denominators.
Answer:
2
Step-by-step explanation:
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