PLS Help Asap! i will award brainliest On her way to her grandmother's house, Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by bus as by foot. If Jackie traveled 34 miles in all, how many miles did she travel by train?

Jackie traveled four times as many miles by bus as by foot. This means that the number of miles travelled by bus is 4 units, and the number of miles travelled by foot is 1 unit.

Jackie traveled three times as many miles by train as by bus. We know that the number of miles travelled by bus is 4 units, so the number of miles travelled by train is [tex]4\times3=12[/tex] units.

Total number of units: [tex]12units+4units+1unit=17units[/tex]

[tex]17units=34[/tex]

Divide 17:

[tex]1 unit=2[/tex]

The number of miles travelled by train is 12 units:

[tex]12units=2\times 12=24[/tex]

She travelled 24 miles by train.

ziaoma ziaoma · Answer 2 · 2020-12-16T05:17:00+01:00

Answer:

24 miles

Step-by-step explanation:

Statement of the given problem,

On her way to her grandmother's house, Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by bus as by foot. If Jackie traveled 34 miles in all, how many miles did she travel by train?

Let T, B & F denote the distances (in miles) traveled by train, bus & foot respectively.

Hence from above data we get following relations,

T = 3*B

or B = T/3

B = 4*F

F = B/4 = T/3/4 = T/12

T + B + F = 34

or T + T/3 + T/12 = 34

or 17*T/12 = 34 or T = 12*34/17 = 24 (miles) [Ans]