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iragen [17]
4 years ago
15

PLEASE HELP QUICK!!

Mathematics
1 answer:
AVprozaik [17]4 years ago
6 0

Answer:

28 miles in 1.4 hours in the city

Step-by-step explanation:

<u>On the highway:</u>

Time =t hours

Rate = 45 mph

Distance =45\cdot t miles

<u>In the city:</u>

Time =3-t hours

Rate = 20 mph

Distance =20\cdot (3-t) miles

The trip was 100 miles long, then

45t+20(3-t)=100\\ \\45t+60-20t=100\\ \\45t-20t=100-60\\ \\25t=40\\ \\t=1.6\ hours\\ \\3-t=3-1.6=1.4\ hours

Distance on the highway =45\cdot 1.6=72 miles

Distance in the city =20\cdot 1.4=28 miles

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