Puzzle 040: Fill the Reservoir

ナゾ０４０　満タンの貯水池
この貯水池では４台のポンプを使って
湖の水を貯水池に移している。
その４台は１台で運転したときに、それ
ぞれが３日、６日、１０日、１５日で
貯水池を満杯にする能力があるという。
この４台のどれかと同じポンプを、
もう１台追加して、丸１日で貯水池を
ちょうど満杯にしたい。
どのポンプを追加すればよいのだろう？

Google Translate
This reservoir has four water reservoirs are moving into the lake with a single pump. When one of its four operating units are units, each 3, 6, 10, 15 that have the ability to fill the reservoir in the day. This same pump was one of four units, and add another one, just fill the reservoir to round one day. Wonder how do I add a pump?

Notes on Puzzle
You need to fill a reservoir with water. You have four pumps. One pump will fill the reservoir in 3 days; one in 6 days; one in 10 days; one in 15 days. If you want to fill the reservoir in 1 day, you could turn on all the pumps at the same time, but you need one more pump to do it. Is a 3-day pump, 6-day pump, 10-day pump or 15-day pump?

Puzzle 029: How Old are the Children?

ナゾ０２９　子どもたちは何才？
友人から次のような手紙が届いた。
『昨年３月に女の子が生まれ、上の
お兄ちゃん、お姉ちゃんと、３人
全員の年齢をかけ合わせたら３６、
足し合わせたら１３になりました！
みんな元気に育ってくれて嬉しい
限りです。　　　　　４月２５日』
さて、その手紙にある子供たちの年齢
はそれぞれいくつだろうか？

Google Translate
I received the following letter from a friend. 『Girl born in January last year, on the brother and sister, we took three fit everyone over the age of 36, brings the total reach 13 now add! It is fine as long as I'm happy that everyone grew up. April 25 』Now, in the age of the children is what some of their letters?

Notes on Puzzle
A math puzzle with people's ages, standard fare. Three people; when you multiply their ages you get 36; when you add their ages you get 13. You already know the age of the youngest (it is given in the letter; if the youngest was born last March and the letter was written in April, then she is 1 year old) so it's pretty easy to figure out the ages of the older brother and sister.

Puzzle 023: The Broken Clock

ナゾ０２３　壊れた時計
時間が止まった時計をはずそうと
壁から降ろしたところ、うっかり
手が滑って落としてしまった。
落とした衝撃で時計盤は中心を通って
まっぷたつに割れた。
よく見ると、それぞれ割れた文字盤内
に書いてある数字を足した合計が
等しくなっている。
どのように割れた河川を描いてほしい。

Google Translate
Hazusou lowered from the wall where the clock stopped and time, had accidentally dropped a hand slipped. Watch the impact panel is cracked right in half fell through the center. If you look closely, is equal to the total sum of the numbers written in broken numerals, respectively. I want to draw a river split it?

Notes on Puzzle
A clock has fallen and broken into two. When you sum the numbers on both halves of the clock face, they come out to the same total. You have to draw a line across the clock face showing where the two halves must have broken for this condition to be met. A basic math/counting problem.

Puzzle 018: 10 Lamps

ナゾ０１８　１０本の街灯
深夜の道路に１０本の街灯が並んで
光っている。
実は不良品お電球を使っていたらしく
２時間に１つの割合で電球が切れる。
一方、３時間ごとに見まわりが現れて、
１つだけ電球を取り替えていく。
１２時間後には、いったい何本の街灯が
点灯しているだろう。

Google Translate
10 late-night road street lights that lined the book shines. Your generous with defective light bulbs actually run out of two hours at a rate of one light bulb. Meanwhile, look around should come up every three hours, only one will replace one light bulb. After 12 hours, the street lights would have illuminated this gas.

Notes on Puzzle
A puzzle about 10 street lamps at night. Every two hours, one of the lamps will burn out. Every 3 hours, someone will come by and replace a burnt out lamp. After 12 hours, how many lamps will still be burning?