Respuesta :
Answer: 3/8
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Explanation:
- A = fraction of the distance traveled in 2/3 of an hour
- B = time value that pairs up with A
- C = fraction of the distance traveled in 1 hour
- D = time value that pairs with C
In this case,
- A = 1/4
- B = 2/3
- C = unknown
- D = 1
We can set up the proportion
A/B = C/D
Which cross multiplies to
A*D = B*C
Let's plug in the known values and solve for C
A*D = B*C
(1/4)*(1) = (2/3)*C
1/4 = (2/3)*C
(2/3)*C = 1/4
3*(2/3)*C = 3*(1/4) ..... multiply both sides by 3
2C = 3/4
(1/2)*2C = (1/2)*(3/4) .... multiply both sides by 1/2
C = (1*3)/(2*4)
C = 3/8
The train travels 3/8 of the distance in 1 hour.
