Chapter 8.6, Problem 38PPSE

Solution

To identify:How long would take each of you working alone to complete the job. You can stuff envelopes twice as fast your friend. Together, you can stuff 6750 envelopes in 4.5 hours.

The required time is $\text{1}\text{.7hr}$ .

Given information:

The given isyou can stuff envelopes twice as fast your friend. Together, you can stuff 6750 envelopes in 4.5 hours.

Explanation:

Consider the given information

Your friend can stuff $500$ envelops in an hour.

  $\frac{6750}{500}=13.5\text{hr}$

Hence your friend alone can compete the job in $13.5\text{hr}$

You can stuff $2x\text{=1000}$ envelops in an hour.

  $\frac{6750}{1000}=6.75\text{hr}$

Hence you alone can compplete the job in $6.75\text{hr}$