SOLUTION: The Q44 travels from the Jamaica stop to the Parkchester stop at 20 miles per hour if there are no traffic jams. However, with traffic jams, it travels 10 miles per hour and take

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Question 979658: The Q44 travels from the Jamaica stop to the Parkchester stop at 20 miles per hour if there are no traffic jams. However, with traffic jams, it travels
10 miles per hour and takes an hour longer to get from Jamaica to Parkchester. How far is the Jamaica stop from the Parkchester stop?
Please explain with detail! Shanks and don't forget to label your work!

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
RT=D is uniform rates idea relating rate, time, distance.

___________________rate_____________time_______________distance
NoTraffic__________20________________t_________________d
WithTraff__________10_______________t+1________________d

system%2820%2At=d%2C10%28t%2B1%29=d%29

20t=10t%2B10


You continue from there.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The Q44 travels from the Jamaica stop to the Parkchester stop at 20 miles per hour if there are no traffic jams. However, with traffic jams, it travels
10 miles per hour and takes an hour longer to get from Jamaica to Parkchester. How far is the Jamaica stop from the Parkchester stop?
Please explain with detail! Shanks and don't forget to label your work!
Let distance from Jamaica to Parkchester be D
At 20 mph, its time to Parkchester = D%2F20
At 10 mph, its time to Parkchester = D%2F10
With difference in times being 1 hour, we get: D%2F20+%2B+1+=+D%2F10
D + 20 = 2D ------- Multiplying by LCD, 20
2D - D = 20
D, or distance = highlight_green%2820%29 miles