Question

Two trains leave towns 1270 kilometers apart at the same time and travel toward each other. One train travel 20 km/h slower than the other. If they meet in 5 hours, what is the rate of each train?

Answer 1

Answer:

the faster train = 137 mph

the slower train = 117 mph

Step-by-step explanation:

Givens

The distance travelled is 1270 km

The rate of one train = r

The rate of the other train = r - 20

The time to travel a total of 1270 miles is 5 hours.

Formula

d = r * t

5*r + 5*(r - 20) = 1270

Solution

5*r + 5*(r - 20) = 1270                  Remove the brackets

5r + 5r - 100  = 1270                    Add 100 to both sides

10r - 100 + 100 = 1270+100         Combine

10r = 1370                                    Divide by 10

r = 1370/10

r = 137