This math topic focuses on calculating speeds from given distances and times, incorporating conversions between different units (e.g., kilometers to meters, minutes to seconds). It covers a variety of scenarios where the learner must derive the speed of a car in different measurement units by applying unit conversions and formulas. The problems require understanding and application of basic distance-time-speed relationships, enhanced by conversion between metric units like millimeters, centimeters, meters, and kilometers. The exercises also involve variable representations, requiring comprehension of both formula manipulation and unit analysis.

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Speed - Distance and Time to Speed - Variables, Changed Distance Units Worksheet

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Speed - Distance and Time to Speed - Variables, Changed Distance Units
1
A car drives for C s and goes R m. How fast is this in mm/s?
a A LaTex expression showing 1 over 1,000RC \;mm/s
b A LaTex expression showing 1,000C over R \;mm/s
c A LaTex expression showing 1,000RC \;mm/s
d A LaTex expression showing 1,000R over C \;mm/s
2
A car drives M cm in N min. How fast is this in m/min?
a A LaTex expression showing 1 over MN \;m/min
b A LaTex expression showing MN \;m/min
c A LaTex expression showing 100N over M \;m/min
d A LaTex expression showing M over 100N \;m/min
3
A car drives for Z s and goes N m. How fast is this in km/s?
a A LaTex expression showing N over 1,000Z \;km/s
b A LaTex expression showing Z over 1,000N \;km/s
c A LaTex expression showing 1,000Z over N \;km/s
d A LaTex expression showing 1 over NZ \;km/s
4
A car drives for P hr and goes Y cm. How fast is this in mm/hr?
a A LaTex expression showing 10P over Y \;mm/hr
b A LaTex expression showing 10Y over P \;mm/hr
c A LaTex expression showing 10YP \;mm/hr
d A LaTex expression showing Y over 10P \;mm/hr
5
A car drives for C s and goes X cm. How fast is this in mm/s?
a A LaTex expression showing 10C over X \;mm/s
b A LaTex expression showing 1 over 10XC \;mm/s
c A LaTex expression showing X over 10C \;mm/s
d A LaTex expression showing 10X over C \;mm/s
6
A car drives P cm in X ms. How fast is this in mm/ms?
a A LaTex expression showing X over 10P \;mm/ms
b A LaTex expression showing 10PX \;mm/ms
c A LaTex expression showing 10P over X \;mm/ms
d A LaTex expression showing 10X over P \;mm/ms
7
A car drives Z mm in N d. How fast is this in cm/d?
a A LaTex expression showing Z over 10N \;cm/d
b A LaTex expression showing 1 over ZN \;cm/d
c A LaTex expression showing N over 10Z \;cm/d
d A LaTex expression showing 10N over Z \;cm/d
8
A car drives P cm in Y d. How fast is this in mm/d?
a A LaTex expression showing 10P over Y \;mm/d
b A LaTex expression showing Y over 10P \;mm/d
c A LaTex expression showing 10Y over P \;mm/d
d A LaTex expression showing 1 over 10PY \;mm/d