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dariagodoy8
19.10.2019 •
Mathematics
Mason and nora decided to swim across the river. mason began swimming 8 seconds earlier than nora.
mason swam at a speed of 5 feet per second.
nora swam at a speed of 9 feet per second.
for how many seconds had mason been swimming at the moment when the two swimmers had swam exactly the same distance?
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Ответ:
distance rate time
Mason d 5 t + 8
Nora d 9 t
Let me explain the values in the table. The problem says "...when the swimmers had swam exactly the same distance"; therefore, we put a d there to indicate that, although we have no idea the distance they swam, both distances were the same. The rates are easy; they are self-explanatory. The time could be a little tricky too though. If Mason began swimming 8 seconds earlier than Nora, Nora's time is t and Mason's time is t + 8, which is Nora's time with 8 seconds added to it. Because d = rt, we set up the equations like that: d = 5(t+8), and d = 9t. Because the 2 d's are the same, we set them equal to each other: 5(t+8) = 9t. Simplifying that gives you 5t + 40 = 9t and 40 = 4t and t = 10. Now put that t value of 10 into Mason's time to solve the question they are asking you: t + 8 with the substitution is 10 + 8 = 18. So Mason had been swimming for 18 seconds when they had both swam the same distance.
Ответ: