SOLUTION: Two towns have a distance of 224 km. How long to reach the town if by travelling 6 kph faster, the trip is reduced by 1 hr.

Question 662490: Two towns have a distance of 224 km. How long to reach the town if by travelling 6 kph faster, the trip is reduced by 1 hr.

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the normal speed in km/hr
Let = time to reach town at normal speed in hrs
given:
= faster speed
= time to reach town at faster speed
-----------
Equation for normal speed:
(1)
Equation for faster speed:
(2)
---------------------------
(1)
Substitute (1) into (2)
(2)
(2)
(2)
Multiply both sides by
(2)
(2)
Use quadratic formula to solve

It normally takes 6.631 hrs to reach town
or 6 hrs 38 min
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK

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