Downstream 7002

A rowboat sailing down a river covers a distance of 120 m downstream in 12 s and upstream in 24 s. Find the magnitude of the ship's velocity relative to the water and the current in the river. Both speeds are constant.

Correct answer:

a =  7.5 m/s
b =  2.5 m/s

Step-by-step explanation:

s=120 m t1=12 s t2=24 s  v1=s/t1=120/12=10 m/s v2=s/t2=120/24=5 m/s  a+b=v1 ab=v2 a+b=10 ab=5  a+b=10 ab=5  Row2Row1Row2 a+b=10 2b=5  b=25=2.5 a=10b=102.5=7.5=7.5 m/s  a=215=7.5 b=25=2.5



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