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Speed - 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.

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Distance and Speed to Time - Variables, Changed Distance Units

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A car drives for Y cm at P mm/d. How many d does it take?

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

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Math worksheet on 'Speed - Distance and Speed to Time - 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 at P m/ms and goes N km. How many ms does it take?
a A LaTex expression showing 1,000N over P \;ms
b A LaTex expression showing 1 over PN \;ms
c A LaTex expression showing PN \;ms
d A LaTex expression showing 1,000P over N \;ms
2
A car drives for D cm at M mm/hr. How many hr does it take?
a A LaTex expression showing 1 over MD \;hr
b A LaTex expression showing 10D over M \;hr
c A LaTex expression showing D over 10M \;hr
d A LaTex expression showing 10M over D \;hr
3
A car drives for N m at X km/d. How many d does it take?
a A LaTex expression showing 1,000N over X \;d
b A LaTex expression showing N over 1,000X \;d
c A LaTex expression showing 1,000XN \;d
d A LaTex expression showing 1 over 1,000XN \;d
4
A car drives for Y m at C mm/d. How many d does it take?
a A LaTex expression showing Y over 1,000C \;d
b A LaTex expression showing 1,000Y over C \;d
c A LaTex expression showing 1 over CY \;d
d A LaTex expression showing CY \;d
5
A car drives for Z m at D mm/min. How many min does it take?
a A LaTex expression showing 1 over DZ \;min
b A LaTex expression showing 1,000Z over D \;min
c A LaTex expression showing DZ \;min
d A LaTex expression showing D over 1,000Z \;min
6
A car drives at C m/s and goes R mm. How many s does it take?
a A LaTex expression showing 1,000R over C \;s
b A LaTex expression showing C over 1,000R \;s
c A LaTex expression showing 1 over 1,000CR \;s
d A LaTex expression showing R over 1,000C \;s
7
A car drives at D m/hr and goes C km. How many hr does it take?
a A LaTex expression showing 1,000D over C \;hr
b A LaTex expression showing D over 1,000C \;hr
c A LaTex expression showing C over 1,000D \;hr
d A LaTex expression showing 1,000C over D \;hr