Pump A can unload a ship in 30h and pump B can unload it in 24h. If both pumps were used, How long would it take to empty the ship?
2007-08-29 19:04:35 · 4 answers · asked by steviewanger 1 in Science & Mathematics ➔ Mathematics
Please explain
2007-08-29 19:12:33 · update #1
Your basic equation is
amount produced= SUM(rate of production x time).
Here the amount produced = 1 ship
Then 1 = 1ship/30hrs *X hr+ 1 ship/24hrs *X hr OR 1= X/30 + X/24. I believe X=13.3 hrs.
2007-08-29 19:13:01 · answer #1 · answered by cattbarf 7 · 1⤊ 0⤋
Pump A unloads 1/30th of the ship in one hour. Pump b unloads 1/24th of the ship in one hour.
working together, the unload 1/xth of the ship in one hour.
1/30 + 1/24 = 1/x
Can you take it from there?
2007-08-30 02:15:59 · answer #2 · answered by mathgoddess83209 3 · 1⤊ 0⤋
x = no. of hours to unload ship.
x/30 + x/24 = 1
4x/120 + 5x/120 = 1
9x/120 = 1
9x = 120
x = 40/3 OR 13 1/3
Answer: 13 1/3 hr OR 13 hr & 20 min
2007-08-30 02:20:46 · answer #3 · answered by Jun Agruda 7 · 3⤊ 0⤋
I think 27, not sure I did it in my head.
2007-08-30 02:11:03 · answer #4 · answered by SSS 3 · 0⤊ 1⤋