Question
Mason starts walking from home at 3.7 mph. Ema leaves to follow Mason 48 minutes later walking at 4.1 mph. How long will it take Ema to catch up to Mason?
Answers
helper
RT = D (rate * time = distance)
4.1 = Emma's rate
3.7 = Mason's rate
T = Emma's time
T + .08 = Mason's time (48/60 = 0.8h)
4.1T = Emma's distance
3.7(T + 0.8) = Mason's distance
Distances are equal to each other
3.7(T + 0.8) = 4.1T
3.7T + 2.96 = 4.1T
0.4T = 2.96
T = 7.4 hour
Emma will catch up to Mason in 7.4 hours
4.1 = Emma's rate
3.7 = Mason's rate
T = Emma's time
T + .08 = Mason's time (48/60 = 0.8h)
4.1T = Emma's distance
3.7(T + 0.8) = Mason's distance
Distances are equal to each other
3.7(T + 0.8) = 4.1T
3.7T + 2.96 = 4.1T
0.4T = 2.96
T = 7.4 hour
Emma will catch up to Mason in 7.4 hours