Let's define variables:
s = original speed
s + 12 = faster speed
The time for the half of the route is:
60 / s
The time for the second half of the route is:
60 / (s + 12)
The equation for the time of the trip is:
60 / s + 60 / (s + 12) + 1/6 = 120 / s
Where,
1/6: held up for 10 minutes (in hours).
Rewriting the equation we have:
6s (60) + s (s + 12) = 60 * 6 (s + 12)
360s + s ^ 2 + 12s = 360s + 4320
s ^ 2 + 12s = 4320
s ^ 2 + 12s - 4320 = 0
We factor the equation:
(s + 72) (s-60) = 0
We take the positive root so that the problem makes physical sense.
s = 60 Km / h
Answer:
The original speed of the train before it was held up is:
s = 60 Km / h
Answer:
y³ + x³ = 1
First, differentiate the first time, term by term:

↑ we'll substitute this later (4th step onwards)
Differentiate the second time:


Answer:
7 and 8
Step-by-step explanation:
Answer:
One gallon for 20 miles.
Step-by-step explanation:
200 / 10 = 20
1 gallon = 20 miles
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Answer:
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Step-by-step explanation:
what language do you speak