Speed - Distance and Time to Speed - Variables, Changed Distance Units (Level 1)

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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Distance and Time to Variables, Changed Distance Units

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A car drives Y km in M d. How fast is this in m/d?

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

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Math worksheet on 'Speed - Distance and Time to Speed - Variables, Changed Distance Units (Level 1)'. Part of a broader unit on 'Speed, Distance, and Time - Practice' Learn online: app.mobius.academy/math/units/speed_distance_time_practice/
1
A car drives for P ms and goes C mm. How fast is this in m/ms?
a A LaTex expression showing P over 1,000C \;m/ms
b A LaTex expression showing 1,000C over P \;m/ms
c A LaTex expression showing C over 1,000P \;m/ms
d A LaTex expression showing 1 over CP \;m/ms
2
A car drives for D s and goes X cm. How fast is this in mm/s?
a A LaTex expression showing 10X over D \;mm/s
b A LaTex expression showing 1 over 10XD \;mm/s
c A LaTex expression showing X over 10D \;mm/s
d A LaTex expression showing 10D over X \;mm/s
3
A car drives C mm in Z hr. How fast is this in cm/hr?
a A LaTex expression showing 10C over Z \;cm/hr
b A LaTex expression showing Z over 10C \;cm/hr
c A LaTex expression showing 1 over CZ \;cm/hr
d A LaTex expression showing C over 10Z \;cm/hr
4
A car drives for Z s and goes R m. How fast is this in cm/s?
a A LaTex expression showing 100R over Z \;cm/s
b A LaTex expression showing 100Z over R \;cm/s
c A LaTex expression showing 1 over 100RZ \;cm/s
d A LaTex expression showing Z over 100R \;cm/s
5
A car drives for C s and goes R m. How fast is this in mm/s?
a A LaTex expression showing 1,000R over C \;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 over 1,000RC \;mm/s
6
A car drives for C s and goes P m. How fast is this in km/s?
a A LaTex expression showing 1,000P over C \;km/s
b A LaTex expression showing PC \;km/s
c A LaTex expression showing 1,000C over P \;km/s
d A LaTex expression showing P over 1,000C \;km/s
7
A car drives D km in Z s. How fast is this in m/s?
a A LaTex expression showing Z over 1,000D \;m/s
b A LaTex expression showing 1,000Z over D \;m/s
c A LaTex expression showing 1,000DZ \;m/s
d A LaTex expression showing 1,000D over Z \;m/s