SOLUTION: It took Cathy 1.81 hours to drive to her​ mother's house on Sunday morning. On her return trip on Monday ​night, traffic was​ heavier, so the trip took her 22hour

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Question 1107679: It took Cathy 1.81 hours to drive to her​ mother's house on Sunday morning. On her return trip on Monday ​night, traffic was​ heavier, so the trip took her 22hours. Her average speed on Monday was 55mph slower than on Sunday.What was her average speed
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
It took Cathy 1.81 hours to drive to her​ mother's house on Sunday morning.
On her return trip on Monday ​night, traffic was​ heavier, so the trip took her 22 hours.
Her average speed on Monday was 55mph slower than on Sunday.
What was her average speed
:
let s = her average speed on Monday
then
(s+55) = her speed on Sunday
:
Write a distance equation, dist = speed * time, dist is the same both ways
22s = 1.81(s+55)
22s = 1.81s + 99.55
22s - 1.81s = 99.55
20.19s = 99.55
s = 99.55/20.19
s = 4.93 mph her speed average speed on Monday
:
;
Check this, find the distance each way (should be equal)
4.93(22) = 108.46 km
59.93(1.81) = 108.47 km

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