John ran a mile in 6 minutes 15 seconds. If Joe ran at an average speed of 168 inches per second, Jim ran at an average speed of 875 feet per minute, and Jeremy ran at an average speed of 10 miles per hour. Who ran faster than John?

Respuesta :

we know that

John ran a mile in 6 minutes 15 seconds
6 minutes 15 seconds--------> 6.25min
1 mile---------------> 63360 in
63360 /(6.25*60)--------> 168.96 in/sec

Joe ran at an average speed of -----------------> 168 in/sec

Jim ran at an average speed of ----------------> 875 ft/min
1 ft---------> 12 in
875 ft-------> X
X---------> 10500 in
875 ft/min--------> 10500 in/min--------> 10500/60-------> 175 in/sec

Jeremy ran at an average speed of ---------------> 10 miles per hour
if 10 miles-------------> 1 hour
  1 mile---------------> X
X=1/10------> x=0.1 hour--------> 0.1*60------> 6 minutes

10 miles/hour
1 mile---------------> 63360 in
10 mile-----------> X
X=63360*10--------> X=633600 in/hour-----> 633600/3600-----> 176 in/sec

therefore
 John------> 168.96 in/sec
Joe----------> 168 in/sec
Jim----------> 175 in/sec
Jeremy-----> 176 in/sec

 Jim 175 in/sec > John 168.96 in/sec
Jeremy 176 in/sec > John 168.96 in/sec

the answer is 
Jim and Jeremy
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