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2 years ago

LAST QUESTION ON MY TOPIC!!! PLEASE

Mathematics

1 answer:

nataly862011 [7]2 years ago

5 0

Givens

Slower car

r = r

t = 12 hours

d = ?

Faster car

r = r + 20

t = 8 hours

d = ?

It doesn't matter what the exact distance is. You just have to know that the 2 distances are equal ie going to the mountains from his home is the same distance as going from the mountains to his home.

d = r * t

r * 12 hours = (r + 20)* 8 hours. Remove the brackets on the right

r*12 = 8r + 20*8

r*12 = 8*r + 160

r*12 - 8r = 8r - 8r + 160

4r = 160

r = 40 miles / hour

=================

Slower Ride determines the distance.

d = r*t

d = 40 * 12

d = 480

Check

Use the faster rate (r + 20) = 40 + 20 = 60 mph

60 * 8 = 480. Both distances work out to be the same.

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