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two cars leave a gas station at the same time travelling in opposite directions, one car travels at 80 kph and the other at 96 kph. in how many hours all they be 528 km apart?

Sagot :

to answer it easily, you should tabulate first the data
               Rate(r)        Time(t)             Distance(d)
Car A      80kph         t                    528-d
Car B      96kph         t                       d

since we are looking for the time we can equate the equation in terms of the distance(d)
d=rt
For Car A
528-d=(80)(t)
d=-80t + 528
For car B
d=96t

equating both
96t=-80t + 528
176t=528
t=3

therefore, in 3 hours, they would be 528km apart