Distance and Work Word Problems

Advanced Math TopicsMrs. Mongold

Work Problems

1𝑥

+1𝑦

=1𝑡

Work Problems

• is the part of the job person one can complete in an hour

Work Problems

• is the part of the job person one can complete in an hour

• is the part of the job person two can complete in an hour1𝑦

Work Problems

• is the part of the job person one can complete in an hour

• is the part of the job person two can can complete in an hour

• is the part of the job person one and two can complete together in an hour

1𝑦

Work Problems

• is the part of the job person one can complete in an hour

• is the part of the job person two can can complete in an hour

• is the part of the job person one and two can complete together in an hour

1𝑦

This is not just limited to two people or things working together you can have more than 2!!!!

Example

• Melissa can clean the house in 4 hours, whereas her husband, Zack, can do the same job in 5 hours. They have agreed to clean together so they can finish in time to watch a movie on TV that starts in 2 hours. How long will it take them to clean the house together? Will they finish in time to watch the move from the beginning?

Distance Problems

• Remember that D=RT

Distance Problems

• Remember that D=RT

• D= Distance

Distance Problems

• Remember that D=RT

• D= Distance• R= Rate

Distance Problems

• Remember that D=RT

• D= Distance• R= Rate• T= Time

Distance Problems

• Remember that D=RT

• D= Distance• R= Rate• T= Time

Object Name Rate Time Distance

Object 1

Object 2

Make a chart for these problems

Example

• Steve takes 1 ½ times as long to go 72 miles upstream in his boat as he does to return. If the boat cruises at 30 mph in still water, what is the speed of the current?

Homework

• Page 419/ 27-34