Question

A speed of 75 mi/h is equal to a speed of 110 ft/s. To the nearest mile per hour, what is the speed of an aircraft traveling at a speed of 1600 ft/s? Please show work.

Answer 1

75mi/h=110ft/s

Answer 2

Isnt 75 mi equal to 110 ft/s

Answer 3

mi is a unit of distance
mi/h is unit of speed

the are 2 different things

ft is a unit of distance
ft/s is a unit of speed

you can not relate distance to speed

you can relate speed to speed or distance to distance

Answer 4

75mi/h=110ft/s

(75mi/h)/(110ft/s)=1

Answer 5

So 75 mi/h and 110 ft/s are speed... They are all speed

Answer 6

basically divide by 110, then multiply by 75

the ft/s units cancel out

Answer 7

leaving you mi/h unit

Answer 8

You cant multiply yet because they arent all in the same unit.. One is in mi while the other is ft?

Answer 9

you divide out the ft/s

if you multiplied ft/s to mi/h

the unit you will get is

ft*mi/s*h

which is why you then divide by ft/s to get rid of the ft/s unit

Answer 10

if i divided, 1600 ft/s by 110 ft/s, what kind of units will i get?

@faraz1998

Answer 11

14.5 ft/s

Answer 12

the number is correct, but the unit is not

the units get cancelled out

kind of like x/x=1, 2/2=1,
in this case, (ft/s)/(ft/s)=1

Answer 13

So all together thats the answer?

Answer 14

Thank you TheMind