Suri travels by train when she is on vacation. These are the trains she rode this summer. Amtrak: 80 miles in 4 hours Metra: 30 miles in 2 hours a) How far will the Metra go in 6 hours? b) How long will it take Amtrak to travel 160 miles?

a) The Metra will go 90 miles in 6 hours

b) It will take Amtrak 8 hours to travel 160 miles.

Step-by-step explanation:

From the question,

Metra travels 30 miles in 2 hours

a) To determine how far the Metra will go in 6 hours,

Let how far the Metra will go in 6 hours be x

Then,

If Metra goes 30 miles in 2 hours

Then, Metra will go x miles in 6 hours

x = (30 × 6)/2 miles = 90 miles

Hence, the Metra will go 90 miles in 6 hours.

b) To determine how long it will take Amtrak to travel 160 miles,

Let how long it will take Amtrak to travel 160 miles be y

From the question,

Amtrak travels 80 miles in 4 hours

Now,

If Amtrak travels 80 miles in 4 hours

Then, Amtrak will travel 160 miles in y hours

y = (160 × 4)/80 hours = 8 hours

Hence, it will take Amtrak 8 hours to travel 160 miles.

x ≈ 12.4

step-by-step explanation:

given

tan46° =

multiply both sides by 12

12 × tan46° = x, thus

x ≈ 12.4