A train goes 20% farther than an older train in the same amount of time. During the time it takes the other train to go 200 miles, how many miles can the newer train complete?

240 miles

Step-by-step explanation:

To solve this we need to write an equation. For this problem let d be the distance traveled. We know that the new train (being much more modern than poor old Thomas who is long retired) can go 20% further. To show this we will take 20% of 200 and then add that to the original distance.

Our equation would look something like this:

d=200+(20%·200)

[one more little note: to find percentage take your percent and convert it into a decimal 20%=0.2)

d=200+(0.2·200)

d=200+40

d=240

20/27

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step-by-step explanation:

1 simplify brackets

-\frac{8}{9}\times \frac{5}{6}−

​9

​

​8

​​ ×

​6

​

​5

​​

2 use this rule: \frac{a}{b}\times \frac{c}{d}=\frac{ac}{bd}

​b

​

​a

​​ ×

​d

​

​c

​​ =

​bd

​

​ac

​​

-\frac{8\times 5}{9\times 6}−

​9×6

​

​8×5

​​

3 simplify 8\times 58×5 to 4040

-\frac{40}{9\times 6}−

​9×6

​

​40

​​

4 simplify 9\times 69×6 to 5454

-\frac{40}{54}−

​54

​

​40

​​

5 simplify \frac{40}{54}

​54

​

​40

​​   to \frac{20}{27}

​27

​

​20

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