Suppose that a boat travels 1 hour downstream and then returns in 1 hour 20 minutes. If the speed of the current is 3 kilometers per hour, find the speed of the boat and the distance it traveled downstream.
2007-09-04 08:05:01 · 3 answers · asked by mistydstephens 1 in Science & Mathematics ➔ Mathematics
The boat is going 21 KM per hour. Downstream its net speed is 24 km/hour for an hour so it goes 24 kilometers. The return speed is a net 18 kph and this takes 1.33 hours (1 hr 20 minutes) to cover 24 km.
2007-09-04 08:16:16 · answer #1 · answered by Gypsy Doctor 4 · 0⤊ 0⤋
x= speed of boat
x+3 = speed of boat down stream
x-3 = speed of boat upstream
(x+3)*1= (x-3)(4/3)
x+3 = 4x/3 -4
x/3 = 7
x = 21 km/h = speed of boat
So speed downstream was 24km/h so distance = 24km
2007-09-04 08:19:47 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋
9 km per hour, 12 km downstream.
2007-09-04 08:15:16 · answer #3 · answered by bchill22000 1 · 0⤊ 1⤋