Bus stop

Find at what time the bus leaves from the bus stop outside the village if you know that when you leave home at 8:00 and go at a speed of 3 km/h, you come to a stop 9 minutes after the departure of the bus, and when you go speed at 4 km/h, you come to the bus stop 10 minutes before departure. Calculate the distance from the village to the bus stop.

Result

t = 9:07
s =  3.8 km

Step-by-step explanation:

s = 3 (t-8.00+9/60)
s = 4 (t-8.00-10/60)

s = 3·(t-8.00+9/60)
s = 4·(t-8.00-10/60)

60s-180t = -1413
60s-240t = -1960

Row 2 - Row 1 → Row 2
60s-180t = -1413
-60t = -547

t = -547/-60 = 9.11666667
s = -1413+180t/60 = -1413+180 · 9.11666667/60 = 3.8

s = 19/5 ≈ 3.8
t = 547/60 ≈ 9.116667

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