Question

Two families are vacationing together, driving in separate cars. The Harris family averages 45 mph, leaving Hometown 6 minutes ahead of the Arlen family, who averages 58 mph. How long will it take the Arlen family to overtake the Harris family?

Answer 1

HI!!

Answer 2

don't you hate word problems?

Answer 3

this one not too hard thought
we need to know how far you travel if you go 48 mph for 6 minutes
any idea?

Answer 4

No idea.

Answer 5

60 minutes in an hour right?

Answer 6

making 6 minutes one tenth of an hour

Answer 7

what is one tenth of 48?

Answer 8

4.8

Answer 9

ok so they have a 4.5 mile head start
then distance equals rate times time
the distance for the first car is \[4.5+45t\] and for the second it is \[58t\]
since evidently they meet at the same time you can solve
\[4.5+45t=58t\] for \(t\)

Answer 10

btw i made a mistake, it was 45 mph not 48
one tenth is 4.5 not 4.8