Question

Please help ASAP!! greatly appreciated

Two trains leave stations 520 miles apart at the same time and travel toward each other. One train travels at 110 miles per hour while the other travels at 90 miles per hour. How long will it take for the two trains to meet?

Do not do any rounding.

Answer 1

`(13)/(5)`
`⟹2.6`

Explanation:

`(520)/(110 + 90)`

Simplify the above

`(520)/(200) = (13)/(5) ⟹ 2.6`

(No rounding was done)

Answer 2

2.6 hours

Explanation:

To calculate the time it will take for the two trains to meet, we first have to calculate the total speed of the trains.

The total speed of the trains is simply the sum their speeds:

total speed = 110 + 90

= 200 miles per hour

Now let's calculate the time taken to travel 520 miles at this speed:

time =
`\mathrm{(distance)/(speed)}`

=
`\frac{520 \mathrm{\ miles}}{200 \ \mathrm{miles/hour}}`

= 2.6 hours

Therefore it will take 2.6 hours (156 minutes) for the two trains to meet.