SOLUTION: Two cars starts at the same time from towns760km apart and meet 4hrs later.One car travels 8km/hr faster than the car.whatdistance did each car travel in 4hrs?

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Question 1052121: Two cars starts at the same time from towns760km apart and meet 4hrs later.One car travels 8km/hr faster than the car.whatdistance did each car travel in 4hrs?
Found 2 solutions by ikleyn, advanced_Learner:
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.
Two cars starts at the same time from towns 760 km apart and meet 4 hrs later. One car travels 8 km/hr faster than the highlight%28other%29 car.
What distance did each car travel in 4 hrs?
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Let u be the rate of the slower car, in km/h.
Then the rate of the faster car is (u+8) km/h.

You have this equation

760 = 4*u + 4*(u+8)),

which says that the two cars together covered the full distance of 760 km in 4 hours.

Simplify and solve for "u":

8u + 32 = 760  --->  8u = 760 - 32 = 728 --->  u = 728%2F8 = 91 km/h.

The speed of the slower car was 91 km/h.

Hence, it covered 4*91 = 364 km before meeting.

The second car covered 760 - 364 = 396 km.


Answer by advanced_Learner(501) About Me  (Show Source):
You can put this solution on YOUR website!
car A
speedr
time 4
distance d
Car B-fast car
r%2B8
time 4
760-d
total distance 760
4r=d
4r%2B32=760-d
use substitution method
4r%2B32=760-4r
8r=728
Speeds of Both cars
r=91 for CAR A
r=99 for CAR B
Distances
4%2A91=d for CAR A
364=d for car B.
for car B
d=396