Last week Claudia traveled by train to visit her grandparents. On Friday she boarded an express train that traveled at an average rate of 82 mph. On Sunday she returned home on a slower train that traveled at an average rate of 41 mph. The total time she spent on the trains was 6 hours. How many hours did she spend on the train on Friday?
A. 4 hrs
B. 3 hrs
C. 2 hrs
D. 6 hrs
82*1=82 The second numbers must add up to be 6. The solutions must be the same, as she is travelling the same distance both ways. There are multiple wasy to solve btw.
82*2=164
82*3=246
82*4=328
82*5=410
82*6=492
41*1=41
41*2=82
41*3=123
41*4=164
41*5=205
41*5=205
Distance/Rate = Time .......so.....
Time traveled on Friday + Time traveled on Sunday = Total Time
D/82 + D/41 = 6 where D is the one-way distance..... get a common denominator
[D + 2D] / 82 = 6 simplify and cross-multiply
3D = 492
D = 164
So....the time on the train on Friday =
164 / 82 = 2 hours