Mary passed a certain gas station on a highway while traveling west at a constant speed of 50 miles ...
Mary passed a certain gas station on a highway while traveling west at a constant speed of 50 miles per hour. Then, 15 minutes later, Paul passed the same gas station while traveling west at a constant speed of 60 miles per hour. If both drivers maintained their speeds and both remained on the highway for at least 3 hours, how long after he passed the gas station did Paul catch up with Mary?
Answer/Solution
1.25
Steps/Work
d = rt
M: r = 50mph, t = t + 1/4hr
d = 50 (t + 1/4)
P: r = 60, t = t
d = 60t
since they went the same distance:
50t + 50/4 = 60t
10t = 50/4
t = 1.25 or 1 hr, 15min
C
M: r = 50mph, t = t + 1/4hr
d = 50 (t + 1/4)
P: r = 60, t = t
d = 60t
since they went the same distance:
50t + 50/4 = 60t
10t = 50/4
t = 1.25 or 1 hr, 15min
C