peno211
06.07.2019 •
Mathematics
Juan drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 8 hours. when juan drove home, there was no traffic and the trip only took 6 hours. if his average rate was 16 miles per hour faster on the trip home, how far away does juan live from the mountains?
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Ответ:
Juan live 384 miles from the mountains.
Step-by-step explanation:
Let x be the speed of Juan for trip to the mountains
Time taken by Juan to reach the mountains=8 hours
then distance traveled by Juan for trip to mountain= speed × time=8x(1)
Time taken by Juan to reach the home= 6 hours
Speed increased by 16 miles per hour ∴ the resultant speed to reach the home by Juan =x+16
then distance traveled by Juan to reach the home =speed × time
= (x+16)6(2)
Now distance is same in both the case (1) and (2),we get
8x= (x+16)6
⇒8x=6x+96(by solving brackets)
⇒2x=96(subtracting 6x from both sides )
⇒x=48(dividing 2 from both sides)
Putting this value in (1) ,we get
Distance traveled by Juan for trip to mountain =8×48=384 miles.
∴ Juan live 384 miles from the mountains.
Ответ:
b.$120
Step-by-step explanation:
Party Favors rounded= 40
Dollars rounded= 3
40x3= 120