Find the # of hrs worked per person

Question

In one day, Annie traveled 5 times the sum of the number of hours Brian traveled and 2.  Together they traveled 20 hrs. Find the # of hrs each person traveled.

Answer 1

Let A represent the number of hours Annie travelled and let B represent the number of hours Brian travelled.

Annie travelled 5 times the sum of the number of hours Brian travelled and 2.

So A = 5(B+2)

A = 5B + 10

Together, Annie and Brian travelled 20 hours. So A+B=20.

5B+10+B=20

6B+10=20

6B=10

B=10/6=5/3= one and two-thirds hours or 1 hour 40 minutes.

A=5B+10

A=5(5/3)+10

A=25/3+30/3

A=55/3= eighteen and one third hours or 18 hours 20 minutes.

Checking our answer, 1 hour 40 minutes + 18 hours 20 minutes = 20 hours so we know our answer is correct.