If Terry hiked 0.5km/h faster, he would have taken 1h less to complete a 15- km hike. What was Terry's hiking speed?

Answer 1

At the higher speed,
15 = (T-1)*(V+0.5)= VT +.5T -V -.5
and at the speed that he used,
15 = VT
Combining the two equations results in
.5T -V = 0.5
.5T -15/T = 0.5
Turn that into a quadratic by multiplying both sides by 2T
T^2 -T -30 = 0
(T-6)(T+5) = 0
T = 6 hours
V = 15/6 = 2.5 km/hour

Answer 2

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