If a car averages #50 1/3# miles per hour, how many hours will it take to go #47 1/2# miles?

Question

2344 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-09-22T23:28:37

0.944 hrs, or 56 minutes, 36 secs.

Best math teacher I ever had said: "Memorize as little as possible in mathematics." Words to live by.

One thing you SHOULD remember is that #d = rt#

Distance = rate x time.

You're given 2 of these, and so can solve for the other.

#r = 50 1/3#

#d = 47 1/2#

#t = d/r = (47 1/2 )/(50 1/3)#

# = 0.944 hrs# (rounding)

# = 56.6# minutes = 56 minutes, 36 seconds. Or thereabouts.

Answer 2 · 2017-09-22T23:38:57

56.6 minutes.

distance = speed x time.

So in this problem distance = #95/2#

speed = #151/3#

These have just been converted to improper fractions, this makes it easier when solving equations.

So we have:

#95/2 = 151/3t#

Solving for t:

Multiply both sides by 3:

#285/2 = 151t#

Multiply both sides by 2:

#285 = 302t#

Divide both sides by 302:

#t = 0.9437#
4 .d.p

Time in minutes:

#0.9437 xx 60 = 56.6#

56.6 minutes.