# Help with formulas for word problems is provided

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Q1. Lisa can shovel snow from her driveway in 35 min. Bill can do he same job in 50 min. How long would it take lisa and bill to shovel the driveway if they worked together.

Q2. Kathy bicycles 6 KM/h faster than Carlos. In the same time it takes Carlos to bicycle 45 km, Kathy can bicycle 63 km. How fast does each bicyclist travel?

Q3. 7 and one half ( round to the nearest eighth) - 23 and three fifths (round to the nearest fifth).

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The expert examines formulas on word problems.

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Q1. Lisa can shovel snow from her driveway in 35 min. Bill can do the same job in 50 min. How long would it take Lisa and bill to shovel the driveway if they worked together.

Solution. Assume that the total work is A. Then the speed of Lisa is A/35; the speed of Bill is A/50. So, if they work together, it will take

A/(A/35+A/50)

= 1/(1/35+1 ...

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- BSc , Wuhan Univ. China
- MA, Shandong Univ.

###### Recent Feedback

- "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
- "excellent work"
- "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
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