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

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) (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

You continue from there.
Answer by MathTherapy(10552) (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 =
At 10 mph, its time to Parkchester =
With difference in times being 1 hour, we get:
D + 20 = 2D ------- Multiplying by LCD, 20
2D - D = 20
D, or distance = miles
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