# Combined Rates YouTube Lecture Handouts

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If Rajesh can build a house in 2 days and his apprentice can build a house in 3 days, then working together, how long will it take them to build the house.

A certain number of small parts need to be produced. 30 parts are scheduled to be produced after each day. After 1/3 of the parts are produced, the rate of production increases by 10 % thanks to improvement on efficiency. It takes 4 fewer days to produce all the parts than scheduled. How many parts are in total?

If Rajesh can build a house in 2 days and his apprentice can build a house in 3 days, then working together, how long will it take them to build the house.

Student A writes 2 essays each hour. Student B writes 3 essays each hour. If they worked together without interfering each other, how long does it take to finish 1 essay

A and B can do a given work in 12 and 18 days respectively. They work alternately for equal period of time. And A started the work. Now, what is the time taken by A and B to complete the job

A project can be done by 70 men in 100 days. There were 80 men at the start of the project but after 50 days, 20 of them had to be transferred to another project. How long will it take the remaining workforce to complete the job. (EFFORT)

8 men can complete a piece of work in 20 days. 8 women can do the same work in 32 days. In how many days will 5 men and 8 women together will complete the same work.

An experienced bricklayer can work twice as fast as an apprentice bricklayer. After the bricklayers work together on a job for 6 hrs, the experienced bricklayer quits. The apprentice requires 12 more hours to finish the job. How long would it take the experienced bricklayer, working alone, to do the job?

A and B working together can finish painting a home in six days. A working alone can finish it in 5 days less than B. How long will it take each of them to finish the work alone

Working continuously at its constant rate, machine A takes 3 hours to produce a batch of computer parts. Working continuously at its constant rate, machine B takes 2 hours to produce an identical batch of parts. If in reality machine A needs repairs of 1 min every 10 min and machine B needs break of 2 min every 30 min, how long will it take the two machines to produce the same batch of parts.

A certain number of small parts need to be produced. 30 parts are scheduled to be produced after each day. After 1/3 of the parts are produced, the rate of production increases by 10 % thanks to improvement on efficiency. It takes 4 fewer days to produce all the parts than scheduled. How many parts are in total?

Next Class (Piper and Cisterns) : Two pipes A and B fill a tank in 20 minutes and 40 minutes respectively. A pipe C at the bottom can empty the tank in 60 minutes. If all three pipes were open simultaneously, how long does it take to fill the empty tank? Further Ahead (Races, Head Start, Dead Heat) : In a 2000m race between A and B. A gives B a start of a minute but still beats him by 200 m . When he increases the head start to 80 seconds , the race ends in dead heat. Find the speed of A.

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