word problem for mathematics

label Mathematics
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

a freight train leaves the train station 4 hours before a passenger train. the two trains are traveling in the same direction on parallel tracks. if the rate of the passenger train is 11 mph faster than the freight train, how fast is each train traveling if the passenger train passes the freight train in 20 hours. 

May 18th, 2015

Let F = speed of the freight train

Let P = speed of the passenger train

P = F + 11

When the passenger train passes the freight train they are at the same distance

Distance = Speed x time

D = F x 24

D = P x 20

Therefore,

24F = 20P

Now substitute P = F + 11 into the equation

24F = 20(F+11)

24F = 20F + 220

4F = 220

F = 55 mph

P = 55+11 = 66 mph

May 18th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
May 18th, 2015
...
May 18th, 2015
Sep 24th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer