SOLUTION: Sharon drove for part of a 150 km trop at 45 km/h and the rest of the trop at 75km/h. How far did she drive at each speed if the entire trip took her 2h 40 mins.

Question 119977This question is from textbook
: Sharon drove for part of a 150 km trop at 45 km/h and the rest of the trop at 75km/h. How far did she drive at each speed if the entire trip took her 2h 40 mins. This question is from textbook

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Sharon drove for part of a 150 km trop at 45 km/h and the rest of the trop at 75km/h. How far did she drive at each speed if the entire trip took her 2h 40 mins.
:
Let d = distance driven at 45 km/h
Then
(150-d) = distance driven at 75 km/h
:
Change 2:40 to hrs: 120 + 40 = 160 min = 160/60 = hrs
:
Write a time equation: Time = distance/speed
:
Time at 45 km/hr + time at 75km/hr = hrs
+ =
:
Multiply equation by 450 to get rid of those annoying denominators:
:
450* + 450* = 450*
:
Cancel out the denominators and we have:
10d + 6(150 - d) = 150(8)
:
10d + 900 - 6d = 1200
:
10d - 6d = 1200 - 900
:
4d = 300
:
d =
:
d = 75 km at 45 km/hr
then
150 - 75 = 75 km at 75 km/hr
:
:
Check solution by finding the time:
75/45 + 75/75 =
+ = ; confirms our solutions

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