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

This math topic focuses on calculating time required for travel given various speeds and distances. It explores problems involving different units of measurement for speed (m/s, mm/min, mm/d, km/s, cm/min, mm/hr, m/ms) and distance (km, m, mm, cm). Each problem requires conversion between units and application of the formula for time, utilizing algebra with variables representing different quantities. The skills practiced include unit conversion, solving for time in the context of speed and distance, and handling varied units within complex word problems in an advanced context of speed, distance, and time.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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

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Speed - Distance and Speed to Time - Variables, Changed Distance Units
1
A car drives for Y km at D m/min. How many min does it take?
a A LaTex expression showing Y over 1,000D \;min
b A LaTex expression showing 1,000D over Y \;min
c A LaTex expression showing 1,000Y over D \;min
d A LaTex expression showing DY \;min
2
A car drives at M mm/s and goes D cm. How many s does it take?
a A LaTex expression showing D over 10M \;s
b A LaTex expression showing 10M over D \;s
c A LaTex expression showing 10D over M \;s
d A LaTex expression showing M over 10D \;s
3
A car drives at N mm/s and goes Z m. How many s does it take?
a A LaTex expression showing Z over 1,000N \;s
b A LaTex expression showing 1,000Z over N \;s
c A LaTex expression showing 1 over NZ \;s
d A LaTex expression showing 1,000N over Z \;s
4
A car drives for Z km at B m/s. How many s does it take?
a A LaTex expression showing 1 over BZ \;s
b A LaTex expression showing BZ \;s
c A LaTex expression showing 1,000B over Z \;s
d A LaTex expression showing 1,000Z over B \;s
5
A car drives for P m at M cm/min. How many min does it take?
a A LaTex expression showing MP \;min
b A LaTex expression showing 1 over MP \;min
c A LaTex expression showing 100M over P \;min
d A LaTex expression showing 100P over M \;min
6
A car drives for Z m at R km/s. How many s does it take?
a A LaTex expression showing 1,000RZ \;s
b A LaTex expression showing 1,000Z over R \;s
c A LaTex expression showing R over 1,000Z \;s
d A LaTex expression showing Z over 1,000R \;s
7
A car drives at P m/s and goes R cm. How many s does it take?
a A LaTex expression showing 1 over 100PR \;s
b A LaTex expression showing 100PR \;s
c A LaTex expression showing R over 100P \;s
d A LaTex expression showing 100R over P \;s
8
A car drives for N cm at Z mm/s. How many s does it take?
a A LaTex expression showing 10Z over N \;s
b A LaTex expression showing 1 over ZN \;s
c A LaTex expression showing ZN \;s
d A LaTex expression showing 10N over Z \;s