Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels 10 miles per hour slower than the westbound train. If the two trains are 1000 miles apart after 5 hours, what is the rate of the eastbound train? PLEASE QUICK ANSWER

Eastbound train: 95 miles per hour

Westbound train: 105 miles per hour

Step-by-step explanation:

Let:

The eastbound train travels 10 miles per hour slower than the westbound train

So e = w - 10

Every hour, the distance between the two trains is the sum of the values.

(w - 10) + w = distance apart in 1 hour

5(w - 10 + w) = distance after 5 hours

Solve:

The westbound train is 105 miles/ hour.

The eastbound train is 95 miles per hour

-Chetan K

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.