# Car driver

The car driver is in town A and is scheduled to be in town B at a specified hour. If it travels at an average speed of 50km/h, it will arrive in city B 30 minutes later. But if he travels at an average speed of 70km/h, he would arrive half an hour earlier. Find the distance between cities A and B and the speed at which a driver would have to go to arrive at the specified hour.

s =  175 km
v =  58.3333 km/h

### Step-by-step explanation:

s = 50·(t+30/60)
s = 70·(t-0.50)

60s-3000t = 1500
s-70t = -35

Row 2 - 1/60 · Row 1 → Row 2
60s-3000t = 1500
-20t = -60

t = -60/-20 = 3
s = 1500+3000t/60 = 1500+3000 · 3/60 = 175

s = 175
t = 3

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