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Semenov [28]
3 years ago
5

a passenger train leaves a train depot 2.5 after a freight train leaves the same depot the passenger train is traveling 13 mph f

aster than the freight train. find the rate of each train if the passenger train overtakes the freight in 5 h
Mathematics
1 answer:
Leona [35]3 years ago
8 0

Answer:

Freight = 13 mph

Passenger = 26 mph

Step-by-step explanation:

Givens

<em><u>Freight Train</u></em>

Rate = r

time = 5 hours

distance = 5*r

<em><u>Passenger Train</u></em>

r = r + 13

t = 2.5 hours

d = (r + 13)*2.5

Formula

The distances are the same so the rate times the time can be equated.

(r + 13) * 2.5 = 5*r            

Solution

Divide both sides by 2.5

(r + 13)*2.5 / 2.5 = 5* r / 2.5

r + 13 = 2r                              Subtract r from both sides.

r - r + 13 = 2r - r

13 = r                                     Switch and divide by 1.5

r = 13                                     Freight train

r + 13 = 13 + 13 = 26 mph.    Passenger train.

Both trains traveled a distance of 65 miles.  See if you can see why.


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