Question 70735
Martina leaves home at 9 A.M., bicycling at a rate of
24 mi/h.
Martina has been cycling for two hours going 24 mi/h so she has already traveled 48 miles.
rate = 24
time = x
distance = 24x
already traveled 48 miles ~> 24x + 48 = distance
Two hours later, John leaves, driving at the rate of 48 mi/h. At what time will John catch up with Martina?
rate = 48
time = x
distance = 48x
When the distances are the same, they will meet.
48x = 24x + 48
24x = 48
x = 2 hours after John left
so ... 4 hours after 9:00 A.M.
1:00 P.M.