SOLUTION: A 4x4 vehicle travels a distance of 150km in 2 hours. Over a rocky section, he drove only 40 km / h and on a better road 80 km / h. How long did he take to drive through the rocky

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Question 1162024: A 4x4 vehicle travels a distance of 150km in 2 hours. Over a rocky section, he drove only 40 km / h and on a better road 80 km / h. How long did he take to drive through the rocky area?
Answer by ikleyn(52799) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let t be the time driving at 40 mph (rocky area), in hours.


Then the time driving at 80 mph is (2-t) hours.


The total traveled distance is 40t + 80*(2-t).


Since it is 150 kilometers, in total, you have this equation


    40t + 80*(2-t) = 150.


Simplify and solve for t


    40t + 160 - 80t = 150

   -40t             = 150 - 160

   -40t             = -10

      t             = %28-10%29%2F%28-40%29 = 1%2F4 = 0.25.


ANSWER.  1%2F4 of an hour driving through the rocky area, or 15 minutes.

Solved.