lex2556
19.09.2019 •
Mathematics
Sam left his school at 3: 05. he walked at a speed of 3.2 mph. 15 minutes later, al started running after him, and he caught up with sam 10 minutes later. what was al’s speed?
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Ответ:
Sam walked for 15 minutes before Al started running after him, then he walked for another 10 minutes while Al was trying to catch up to him. Therefore Sam walked a total of 25 minutes. We also know that he walked at a speed of 3.2mph.
25/60 hours * 3.2miles per hour =
5/12 hrs * 16/5 mph =
80 / 60 miles =
4/3 miles
I did the math in fractions instead of decimals because in this case, 4/3 is cleaner than 1.333333
Now lets look at what we know about Al. He ran for 10 minutes. We also know that he ran 4/3 miles since he caught up with Sam and that's how long Sam had walked. If we put this information into an equation we can solve for Al's speed:
10 minutes * x miles per hour = 4/3 miles
1/6 hr * x mph = 4/3 miles
x = 24/3 mph
x = 8 mph
Therefore, Al ran at 8mph.
Ответ:
8 mph
explanation:
Time Sam left his school = 3:05 ( 1/4 hr )
Walked at a speed of 3.2 mph
Al’s speed?
AI caught up with Sam 10 minutes later
Time AI ran for = 1/6 hr
Speed = distance /time
Sam’s distance
3.2 x 1/4 = 0.8 miles
Simultaneous in the same 10 minutes, Sam walks 3.2 x 1/6 =0.53 miles.
AI ran the total distance of -> 0.8+ 0.53 = 1.3 miles
Speed = distance /time
1/3 divided by 1/6 = 4/3
4/3 * 6 = 24/3 = 8 mph
Ответ:
1.) B. 15
2.) C. 60
3.) B.
Hope this helps.