MATH SOLVE

4 months ago

Q:
# Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting point. If her total rowing time is 48 min, for how long does she row upstream? Express your answer to the nearest minute. about 24 min about 26 min about 44 min about 30 min

Accepted Solution

A:

Answer:about 26 minStep-by-step explanation:Toni rows a boat 4.5 km/h upstream and then turns around and rows 5.5 km/h back downstream to her starting pointFirst we find the average speedWe add both speed and divide it by 2[tex]\frac{4.5+5.5}{2} = 5[/tex]Now we find the distance for round tripgiven total time is 48 mins. convert mins into hours48 mins = 48 divide by 60 = 0.8average speed = 5 km/hrDistance = speed * time = 5 * 0.8 = 4 kmdistance covered both ways = 4 kmso 4 divide by 2 = 2 km each wayTo find time taken for upstream = distance of each way / speed of upstreamtime = [tex]\frac{2}{4.5} = 0.44 hours[/tex]Now convert hours into minutes0.44* 60= 26.4 minutes