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Usain can run 100 yards (yd.) in
seconds (s.). If there are 1,760 yards in
a mile (mi.), which of the following shows
Usain's speed in miles
per hour
(hr.)?
100 yd.
mi.
9 s.
1,760 yd.
3,600 s.
1 hr.
K
100 yd.
1,760 yd.
1 hr.
9 s.
mi.
3,600 s.
9 s.
1,760 yd.
100 yd.
1 mi.
3,600 s.
1 hr.
9 s. • 100 yd.
M
3,600 s. 1,760 yd.
N
3,600 s. • 1,760 yd.
9 s. • 100 yd.

User Hughgo
by
7.4k points

1 Answer

1 vote

Answer: To find Usain's speed in miles per hour, we need to convert the distance from yards to miles and the time from seconds to hours. To convert yards to miles, we divide the number of yards by the number of yards in a mile (1,760). To convert seconds to hours, we divide the number of seconds by the number of seconds in an hour (3,600).

So, to find Usain's speed, we use the formula:

Speed = Distance / Time

In this case, we have:

Speed = (100 yd) / (9 s)

We need to convert yards to miles and seconds to hours, so we can use the following conversion factors:

1 yd = 1/1,760 mi

1 s = 1/3,600 hr

By applying this conversion factor we get the speed in miles/hour.

Speed = (100 yd) / (9 s) * (1/1,760 mi/yd) * (1/3,600 hr/s)

So the final answer will be:

Speed = (100/9) * (1/1,760) * (1/3,600) miles/hour

Hence, option M: 3,600 s is the final answer.

Explanation:

User Arianne
by
8.2k points