SOLUTION: if the speed of a car is increased from 90km/h to 120km/h, the time is reduced by one hour to reach the destination. Calculate the distance between the two towns.

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Question 1070721: if the speed of a car is increased from 90km/h to 120km/h, the time is reduced by one hour to reach the destination. Calculate the distance between the two towns.
Found 2 solutions by Fombitz, addingup:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time= Distance
.
.
1.90%2At=D
2.120%2A%28t-1%29=D
So,
90t=120t-120
-30t=-120
t=4
So,
D=90%2A4
D=360km

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
90x = 120(x-1)
90x = 120x-120
-30x = -120
x = 4 hours travel time
90*4 = 360km is the distance between the towns
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Check:
If the speed is increased to 120km/h the time is reduced by 1 hour:
120*(4-1) = 360 Correct, same distance.