A bus travels 0.8 mile east every 45 seconds. A second bus travels 0.55 mile west every 30 seconds. The buses start at the same location. Use two methods to determine how far apart the buses are after 15 minutes.

32.5 miles

Step-by-step explanation:

Given that:

Eastbound bus :

0.8 miles every 45 seconds

Speed per second :

0.8 / 45 = 0.0177777 miles per second

Distance after 15 minutes

(15 * 60) * 0.0177777 = 16 miles

Westbound bus:

0.55 miles every 30 seconds

Speed per second :

0.55 / 30 = 0.0183333 miles per second

Distance after 15 minutes :

(15 * 60) * 0.0183333 = 16.5 miles

Distance apart :

16 miles + 16.5 miles = 32.5 miles

METHOD 2:

Distance covered after 15 minutes :

15 minutes = 15 * 60 = 900 seconds

Distance apart after 900 seconds :

[0.8 * (900/45)] + [0.55 * (900/30)]

16 + 16.5

= 32.5 miles

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation:

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