Question

Monica is 400 miles away from home while her sister,Mary is 300 miles away.Say monica travels at a speed of 50 miles per hour and Mary travels back at a speed of 40 miles per hour.Solve the system of equation and graph it. When are the two sisters the same distance frome home

Answer 1

400,300
350,260
300,220
250,180
200,140
150,80
100,40
50,0
0,0

9 hrs?

Answer 2

Answer:

7.75 hours

Step-by-step explanation:

Distance = Rate times Time

Monica 400=50xT

Mary 300=40xT

Monica 400/50=T, so T=8 hours.  This is how long it takes her to get home.

Mary 300/40=T, so T=7.5 hours.  This is how long it takes her to get home.

The difference in time between 7.5 and 8 hours is 7.75 hours.  This is the time they will be an equal distance from home.