C = 75h + 125
The equation above gives the amount C, in dollars, an electrician charges for a job that takes h hours. Ms. Sanchez and Mr. Roland each hired this electrician. The electrician worked 2 hours longer on Ms. Sanchez’s job than on Mr. Roland’s job. How much more did the electrician charge Ms. Sanchez than Mr. Roland?

An electrician charges a one-time site visit free to evaluate a potential job. If the electrician accepts the job, he charges an hourly rate plys the cost of any materials needed to complete the job. The electrician also charges for tax, but only on the cost of the materials. If the total cost of completing a job that takes h hours is given by the function C(h)=45h+1.06(82.5)+75 , then the term 1.06(82.5) represents

Mr. Dogra lives in a very old house. The electric wiring in this house was done more than 50 years ago. Mr. Dogra purchased an air conditioner recently. One day Mr. Dogra was sitting in a closed room with all his family members with air conditioner switched on. A geyser was also working on the same socket as the air conditioner. Suddenly, everyone in the room heard a little explosion and saw that the electric wires in the air conditioner socket had caught fire. Mr. Dogra was so shocked that he did not know what to do. Mr. Dogra's son Rajesh who is studying in Class X rushed out of the room and put off the main switch quickly. Before Mr. Dogra could call the Fire Brigade, Rajesh extinguished the fire with the help of a fire extinguisher which he had made in the school. An electrician was called. When he checked the main fuse, he found that someone had put a thick copper wire in the main fuse instead of proper fuse wire. The electrician changed the whole wiring of the house by using good quality wires and fixed a proper fuse wire in the main fuse. He also made separate circuit for geyser and provided separate fuses for all the circuits. (a) Why did the electric wires catch fire ? (b) What is the condition of using an air conditioner and a geyser on the same socket known as ? (c) Why did the fuse not blow off ? (d) What would you recommend in place of old porcelain fuse holders in the house to project the wiring more efficiently ? (e) What values are displayed by Mr. Dogra's son Rajesh in this whole episode ?

Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time will be taken by A alone to fill the cistern? 1 h r s b. 2 h r s c. 6 h r s d. 8 h r s