# Work and Rate Problems: 1 Shortcut to Solve Direct & Inverse Proportion in 15 Seconds YouTube Lecture Handouts

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## Work and Rate Problems

## If 48 Men Working 5 Hours a Day Can Till the a Square Plot in 24 Days, How Many Men Would It Take Working 10 Hours a Day to Till a Square Plot with Twice the Length Which is Twice as Hard in 36 Days

Basics (job/work/distance) = rate * time

5 men can do work in 30 days. How many days it will take for 10 men to do same work.

5 men can do 3 tasks in 30 days. How many men it will take to do two tasks in 10 days.

If 48 men working 5 hours a day can do a piece of work in 24 days, in how many days will 36 men working 10 hours a day complete the same work.

If 48 men working 5 hours a day can till the land in 24 days, how many men would it take working 10 hours a day to till double the land which is twice as hard in 36 days?

If 48 men working 5 hours a day can till the a square plot in 24 days, how many men would it take working 10 hours a day to till a square plot with twice the length which is twice as hard in 36 days.

In a camp there is enough food for 300 hungry college students for 25 days. If 200 more students join the camp, how many days will the food last?

11 potters could make 143 pots in 8 days. Now, a mechanized potter’s wheel has increased their efficiency by 100%, how many potters will be required to make 286 pots in 4 days?

Ram starts at 8:00 AM by bicycle to reach school. He cycles at the speed of 18 km/hour and reaches the school at 8:22 AM. By how much should he increase the speed so that he can reach the school at 8:12 AM?

Next 2 Classes- Combining Rates and Head Start

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?

-Mayank