A twig floats downstream at a rate of 4 kilometers per hour. At the same time, 2 kilometers downstream, a trout begins swimming upstream, moving toward the twig at 16 kilometers per hour. In how much time will the fish swim by the twig?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Q. A twig floats downstream at a rate of 4 kilometers per hour. At the same time, 2 kilometers downstream, a trout begins swimming upstream, moving toward the twig at 16 kilometers per hour. In how much time will the fish swim by the twig?If necessary, round your answer to the nearest minute.____ hours and ____ minutes
Calculate Relative Speed: We need to calculate the relative speed of the trout to the twig. Since the trout is swimming upstream and the twig is floating downstream, we add their speeds to find the relative speed at which they are approaching each other.Relative speed =Speed of trout+Speed of twigRelative speed =16km/h+4km/hRelative speed =20km/h
Find Time Taken: Now we need to find the time it takes for the trout to swim 2 kilometers at the relative speed of 20 kilometers per hour.Time = Distance / Relative speedTime = 2km/20km/hTime = 0.1 hours
Convert Time to Minutes: To convert the time from hours to minutes, we multiply by 60 minutes per hour.Time in minutes = Time in hours ×60 minutes/hourTime in minutes = 0.1 hours ×60 minutes/hourTime in minutes = 6 minutes