Day trip

A group of tourists went on a day trip. For two hours they walked at a speed of 6 km/h, for another hour they climbed a steep hill at a speed of 2 km/h, spent an hour and a half at lunch, then in an hour they inspected the castle garden at a free step at a speed of 1 m/s and finally for three hours they returned home at speed 4. km/h.
a) Calculate the total time tourists spent on the trip.
b) Calculate their average speed.

Correct answer:

t =  8.5 h
v =  3.4824 km/h

Step-by-step explanation:

t1=2 h v1=6 km/h t2=1 h v2=2 km/h t3=1.5 h v3=0 km/h t4=1 h v4=1 m/s km/h=1 3.6  km/h=3.6 km/h t5=3 h v5=4 km/h  t=t1+t2+t3+t4+t5=2+1+1.5+1+3=8.5 h
s1=v1 t1=6 2=12 km s2=v2 t2=2 1=2 km s3=v3 t3=0 1.5=0 km s4=v4 t4=3.6 1=518=3.6 km s5=v5 t5=4 3=12 km  s=s1+s2+s3+s4+s5=12+2+0+3.6+12=5148=29.6 km  v=s/t=29.6/8.5=3.4824 km/h



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