10, to the person who answers these Qs first!!!?

Question

Alexander left Miami and drove at a speed of 46 mph. Thomas left 1 hour later and drove at a speed of 60 mph. How long will it take Thomas to catch up with Alexander?

4.29 hours
3.29 hours
5.29 hours


Kyle left Miami and drove at a speed of 46 mph. Eric left 1 hour and 45 minutes later (which is 1.75 hours) and drove at a speed of 62 mph. How long will it take Eric to catch up with Kyle?

6.78 hours
3.2 hours
5.03 hours



Morgan and Thomas left Seattle at three in the afternoon, traveling in opposite directions. At six p.m., they were one hundred eighty-nine kilometers apart. If Thomas' rate of speed is two times that of Morgan's, what is Morgan's speed?


17 kph
24 kph
21 kph

Megan left Seattle and traveled at a rate of thirty-one kph more than two times the speed of Isaac, who left at the same time but in the opposite direction. After 1.22 hours, they were 133 kilometers apart. What was Megan's speed?

83 kph
23 kph
26 kph

Answer 1

how about answer these questions yourself and earn your own grade.

Answer 2

Hi. These questions are all the same with slight variations. Ignore driver names and cities. Forget about miles or kilometers. You have a starting point (zero) a distance or time traveled, and a choice of answers. Let's start with the first.

Alexander left Miami and drove at a speed of 46 mph. Thomas left 1 hour later and drove at a speed of 60 mph. How long will it take Thomas to catch up with Alexander?

Stripping the distractions out we are left with d=46 (the miles covered by the first driver in one hour at 46 MPH), v1 = 46 (speed of first driver), v2 = 60 (speed of driver 2). Can you figure it out from this?

Answer 3

#1
46(X + 1) = 60 X
46 X + 46 = 60 X
46 = 14 X
X = 3.29 Hrs

#2
46(X + 1.75) = 62 X
46 X + 80.5 = 62 X
80.5 = 16 X
X = 5.03 Hrs

#3
189 = 3 ( X + 2X)
189 = 9 X
X = 21 KPH

#4
133 = 1.22 ( 2X + 31 + X)
133 = 2.44X + 37.82 + 1.22X
95.18 = 3.66X
X = 26
so Megan is 2*26 + 31 = 83 KPH