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it took Helen 3 hours to do a page of science homework exercises











































Work Rate Problem

On Monday it took Helen 3 hours to do a page of science homework exercises.

The next day she did the same number of exercises in 2 hours.

If her average rate on Monday was p exercises per hour, what was her average rate the next day in terms of p?

Comments for it took Helen 3 hours to do a page of science homework exercises

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Jun 25, 2014
Work Rate Problem
by: Staff


Answer



p = average exercises per hour on Monday

q = average exercises per hour on Tuesday


3 hrs * p exercises per hour = total exercises on Monday

2 hrs * q exercises per hour = total exercises on Tuesday



work rate * time = total work completed 

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total exercises on Tuesday = total exercises on Monday


2 hrs * q exercises per hour = 3 hrs * p exercises per hour



write equation based on the following fact:  number of exercises completed on Monday =  number of exercises completed on Tuesday 

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Solve for q


Divide each side of the equation by 2 hours

(2 hrs * q exercises per hour) / (2 hrs) = (3 hrs * p exercises per hour) / (2 hrs)


q exercises per hour = (3/2) * (p exercises per hour)



solve equation for q:  divide each side of the equation by 2 hours 

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solve equation for q:  complete the division 

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final answer


Helen’s average rate on Tuesday in terms of p

Helen’s average exercises per hour on Tuesday = (3/2) * (p exercises per hour)


Helen’s average exercise completion rate on Tuesday in terms of p 

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Thanks for writing.

Staff
www.solving-math-problems.com


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