问题 解答题

一项工程,甲,乙两公司合作,12天可以完成,共需付施工费102000元;如果甲,乙两公司单独完成此项工程,乙公司所用时间是甲公司的1.5倍,乙公司每天的施工费比甲公司每天的施工费少1500元.

(1)甲,乙两公司单独完成此项工程,各需多少天?

(2)若让一个公司单独完成这项工程,哪个公司的施工费较少?

答案

(1)设甲公司单独完成此项工程需x天,则乙公司单独完成此项工程需1.5x天.

根据题意,得

1
x
+
1
1.5x
=
1
12

解得x=20,

经检验知x=20是方程的解且符合题意.

1.5x=30

故甲公司单独完成此项工程,需20天,乙公司单独完成此项工程,需30天;

(2)设甲公司每天的施工费为y元,则乙公司每天的施工费为(y-1500)元,

根据题意得12(y+y-1500)=102000,解得y=5000,

甲公司单独完成此项工程所需的施工费:20×5000=100000(元);

乙公司单独完成此项工程所需的施工费:30×(5000-1500)=105000(元);

故甲公司的施工费较少.

选择题
阅读理解

“Good morning!” said a woman as she walked up to an old man sitting on the ground. The man slowly looked up. He was Jack, who had been begging around here for a couple of years.

“See that cafeteria(自助餐厅)over there?” she asked. “I’m going to get you something to eat and get you out of the cold for a while.”

She sat down at the table across from her amazed dinner guest. She stared at him intently. “Jack, do you remember me?” Old Jack thought hard and said, “I think so--I mean you do look familiar.”

“I was thin and hungry,” she said. “Maybe I’ve filled out now more than when you worked here. That was when I was just out of college. I had come to the city looking for a job, but I couldn’t find anything. Finally I was down to my last few cents and had been kicked out of my apartment. I walked in the streets for days, cold and hungry. I saw this place and walked in hoping that I could satisfy my hunger.”

Jack lit up with a smile. “Now I remember,” he said. “I was behind the serving counter. You came up and asked me if you could work for something to eat. I said it was against company’s policy.”

The woman continued, “Then you made me the biggest roast beef sandwich, gave me a cup of coffee, and told me to go over to a corner table and enjoy it. I was afraid that you would get into trouble. Then, I saw you put the price of my food in the cash register.”

“So you started your own business?” old Jack said. “I got a job that very afternoon. I worked my way up. Eventually I started my own business that, with the help of God, prospered.” She opened her purse and pulled out a business card. “When you are finished here, I want you to pay a visit to a Mr. Lyons, the personnel director of my company. He’ll find something for you to do around the office.” She smiled, “If you ever need anything, my door is always open to you.”

There were tears in the old man’s eyes, “How can I ever thank you?” he said. “Don’t thank me;” the woman answered, “thank yourself. It was your kindness that let me know you.”

小题1:Why did the woman invite the beggar to dinner?

A.The beggar was once her friend.

B.She felt very pity for the beggar.

C.The beggar once offered her a free meal.

D.She once worked with the beggar.小题2:What does the underlined phrase “fill out” in Paragraph 4 probably mean?

A.wear a beautiful dress.

B.change one’s features.

C.have a very high position.

D.become larger or fatter.小题3:Years ago the woman walked into the place she caught sight of to __________.

A.find a job there

B.get herself out of cold

C.get something to eat

D.meet with the man小题4:What conclusion can you draw from this passage?

A.Kindness is an investment that never fails.

B.Nothing is difficult for the man who will try.

C.Don’t judge a person from his/her appearance.

D.God helps those who help themselves.