if emily's speed is s and the river current speed is r,
1(s+r) = 6
2(s-r) = 6
s + r = 6
2s - 2r = 6
4s = 18
s = 4.5
r = 1.5
So,
Emily's speed is 4.5 mph
Ashley's speed is 5.5 mph
The river's speed is 1.5 mph
Rowing separately,
Emily's time is 6/(4.5+1.5) + 6/(4.5-1.5) = 3 hours
Ashley's time is 6/(5.5+1.5) + 6/(5.5-1.5) = 2.357 hours
Ashley finishes 0.64 hours sooner
Emily rows six miles downstream in 1 hour and her friend Ashley,rowing 1 mile per hour faster,completes the return trip in 2 hours.
1.Find the speed of the current(c) and each girls rowing speed.
2.If Emily and Ashley were rowing separately,who would complete their trip first and by how long?Round to the nearest hundredth,if necessary.
1 answer
1 answer