Speed - Two Cars Same Time - Distance Delta and First Speed to Second Speed (Level 3)

This math topic focuses on advanced problems related to speed, distance, and time, specifically comparing two cars that travel for the same duration but at different speeds. Students are required to calculate the speed of the second car given the speed of the first car and the distance difference between them. The problems are designed to enhance students' abilities to manipulate the fundamental formula: speed = distance/time and apply algebraic skills to solve for unknowns in word problems related to real-life scenarios of moving vehicles.

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

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Two Cars Same Time - Distance Delta and First Speed to Second Speed

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Car A and Car B both drive for 2 hrs, 30 mins. Car A drives at 80 km/hr and goes 75 km less than Car B. How fast did Car B go?

Speed - Two Cars Same Time - Distance Delta and First Speed to Second Speed Worksheet

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Math worksheet on 'Speed - Two Cars Same Time - Distance Delta and First Speed to Second Speed (Level 3)'. Part of a broader unit on 'Speed, Distance, and Time Logic Challenges - Intro' Learn online: app.mobius.academy/math/units/speed_distance_time_logic_intro/
1
Car A and Car B both drive for 3 hrs. Car A drives at 40 km/hr and goes 135 km less than Car B. How fast did Car B go?
a
75 km/hr
b
80 km/hr
c
85 km/hr
d
100 km/hr
2
Car A and Car B both drive for 1 hr. Car A drives at 115 km/hr and goes 15 km further than Car B. How fast did Car B go?
a
125 km/hr
b
100 km/hr
c
80 km/hr
d
90 km/hr
3
Car A and Car B both drive for 4 hrs. Car A drives at 85 km/hr and goes 100 km further than Car B. How fast did Car B go?
a
80 km/hr
b
45 km/hr
c
60 km/hr
d
40 km/hr
4
Car A and Car B both drive for 2 hrs, 30 mins. Car A drives at 50 km/hr and goes 100 km less than Car B. How fast did Car B go?
a
85 km/hr
b
90 km/hr
c
75 km/hr
d
105 km/hr
5
Car A and Car B both drive for 2 hrs, 45 mins. Car A drives at 120 km/hr and goes 55 km further than Car B. How fast did Car B go?
a
80 km/hr
b
100 km/hr
c
120 km/hr
d
95 km/hr
6
Car A and Car B both drive for 45 mins. Car A drives at 60 km/hr and goes 45 km less than Car B. How fast did Car B go?
a
140 km/hr
b
120 km/hr
c
110 km/hr
d
130 km/hr
7
Car A and Car B both drive for 30 mins. Car A drives at 80 km/hr and goes 10 km further than Car B. How fast did Car B go?
a
70 km/hr
b
65 km/hr
c
60 km/hr
d
45 km/hr