Answer:
Step-by-step explanation:
2x+4 = 7x-1
4+1 = 7x - 2x
5 = 5x
x = 5/5
x = 1
hope this helps
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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:
4
Step-by-step explanation:
All the sides of an equilateral triangle are equal, hence the perimeter is expressed as P = 3s
s is one of the side length
Given DE = 5x - 8
P = 3DE
P = 3(5x-8)
36 = 3(5x-8)
36/3 = 5x-8
12 = 5x - 8
5x = 12+9
5x = 20
x = 20/4
x = 4
Hence the value of x is 4
Answer:
1 and 7/12 hours
Step-by-step explanation:
2 and 1/3 is the whole. You need to subtract 3/4. To bring both of these to the same denominator, multiply each fraction by the others denominator. That means 1/3 is now 4/12 and 3/4 is now 9/12. They can now be subtracted. 2 and 4/12 - 9/12 = 1 and 7/12.