SOLUTION: Two trucks traveled from Town A to Town B which are 100km apart. One of the trucks travelled 10km/h faster than the other and arrived 45 minutes sooner. Find the time taken by the
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Question 992759: Two trucks traveled from Town A to Town B which are 100km apart. One of the trucks travelled 10km/h faster than the other and arrived 45 minutes sooner. Find the time taken by the faster truck
Answer by ikleyn(52858) (Show Source): You can put this solution on YOUR website!
.
Let x be the speed of the faster car, in kilometers per hour ().
Then the speed of the other car is (x-10) .
We have an equation
- =
(the ratios in the left sides are times for each car, time = ).
Now simplify and solve this equation. Multiply both sides by 4*x*(x-10).
400x - 400*(x-10) = 3*x*(x-10).
= - ,
- - = .
Can you solve this quadratic equation?
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