In one day annie traveled 5 times the sum of the number of hoirs brian traveled and 2. Together they traveled 20 hours. Find the number of hours each person traveled

Answer 1

this is a simultaneous solution problem. First write down your relationsships

A is Annie

B is Brian

A = 5(B+2) . first sentence

A + B = 20 . second sentence

A = 20 - B

substitute A into first equation

20 - B = 5(B+2)

distribute and combine like terms

20 - B = 5B+10

6B = 10

B = 5/3 hrs

therefore A would be

A = 20- 5/3

A = 60/3 - 5/3 = 55/3