Question

23) It takes a bus 6 hours to take a trip. The train takes only 4 hours to make the same trip. The train travels

at a rate of speed that is 25 mph more than the speed of the bus. What is the rate of the bus and the rate of

the train? State what x represents, state the equation, and then state the answer.

Rate Time Distance

Bus x 6 бах

Train x-? 2(x+3)

Distance bus travels – Distance train travels

Answer 1

Answer:

x  = 50 mph        speed of the bus

y  = 75  mph       speed of the train

Step-by-step explanation:

Lt´s call  "x" speed of bus   and  "y" speed of train.

According to the problem statement

6*x  =  4*y                   (1)

y  =  x  + 25                 (2)

We solve for x and y the two equation system

y = ( 6/4)*x

( 6/4)*x  =  x  +  25

6*x = 4*x + 100

2*x  = 100

x  = 50 mph

And

y  =  (6/4)*x

y  = 300/4

y  = 75 mh