SOLUTION: Mr. Santos travelled for 2 hours at a constant speed. Because of potholes, he reduced his speed by 7km per hour for the next 2 hours. if he travelled 206 km, what was his speed on

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Question 119288: Mr. Santos travelled for 2 hours at a constant speed. Because of potholes, he reduced his speed by 7km per hour for the next 2 hours. if he travelled 206 km, what was his speed on the first part of the trip.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Traveled for 2 hours at a constant speed. he reduced his speed by 7 km per hour for the next 2 hours. if he traveled 206 km, what was his speed on the first part of the trip.
:
Let s = speed for the 1st part of the trip
Then
(s-7) = speed for the 2nd part of the trip
:
Write a distance equation: Dist = time * speed
:
Fast dist + slow dist = 206 km
2s + 2(s-7) = 206
:
2s + 2s - 14 = 206
:
4s = 206 + 14
:
4s = 220
:
s = 220%2F4
s = 55 km/hr, speed on the 1st part of the trip
:
:
Check solution of s = 55
2(55) + 2(48) =
110 + 96 = 206; confirms our answer