Distance Problem Show your solution?

Question

Two cars, 325 kilometers apart, travel toward each other. One car travels at the rate of 70 km/h and the other at 60 km/h. After how many hours will they meet?

Answer 1

let time taken be t hours

dist. travelled by first car
=70t

dist. travelled by first car
=60t

so 70t+60t=325
130t=325
t=325/130
t=2.5

Answer 2

Let x be the hours
so
distance travelled by first car=speed *time
=70 km/h * x h= 70x km
distance travelled by second car =60 km/h * x h= 60x km
distance travelled by both the cars should together add up to the full distancei.e.
70x+60x = 325
130x = 325
x= 325/130= 2.5
i.e the cars will meet after 2.5 hours or 150 minutes
Check:
In 2.5 hours first car travels =70*2.5 =175
so the second car should have travelled
325-175 = 150 km
at 60 km/h in 2.5 hours second car travels 60*2.5=150 km
which is what we get
so the answer of 2.5 hours is correct

Answer 3

lets assume T is the time to meet the two cars moving in the opposite direction.
then from the distance velocity formula
d=v1T+v2T, where v1 and v2 are velocities of cars.
therefore 325=70T+60T
T= 325/130=2.5 hrs

so, after 2.5 hrs thw two cars will meet.

Answer 4

Let

x = Time

60x = speed of the slower car

70x = speed of the faster car

325 = distance apart

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60x + 70x = 325

130x = 325

130x/130 = 325 / 130

x = 2.5

The answer is x = 2.5

The two cars will meet is 2.5 hours

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