CSS - PMS - CCE - PCS - Mathematics
TimeSpeed & Distance
A traveler covers 70 km at 65 km/h and then 100 km at 75 km/h. What is the average speed for the whole journey?
A. 70.53 km/h
B. 70.00 km/h
C. 75.00 km/h
D. 65.00 km/h
Correct Answer: A
Average speed = total distance ÷ total time = 170 ÷ (70/65+100/75) = 70.53 km/h.
CSS - PMS - CCE - PCS - Mathematics
TimeSpeed & Distance
Two vehicles travel in the same direction at 55 km/h and 50 km/h. What is their relative speed?
A. 55 km/h
B. 105 km/h
C. 5 km/h
D. 50 km/h
Correct Answer: C
For the same direction, relative speed = |55−50| = 5 km/h.
CSS - PMS - CCE - PCS - Mathematics
TimeSpeed & Distance
A vehicle travels at 60 km/h for 5 hours. What distance does it cover?
A. 65 km
B. 360 km
C. 300 km
D. 295 km
Correct Answer: C
Distance = speed × time = 60×5 = 300 km.
CSS - PMS - CCE - PCS - Mathematics
TimeSpeed & Distance
A traveler covers 110 km at 35 km/h and then 140 km at 45 km/h. What is the average speed for the whole journey?
A. 40.00 km/h
B. 45.00 km/h
C. 35.00 km/h
D. 39.97 km/h
Correct Answer: D
Average speed = total distance ÷ total time = 250 ÷ (110/35+140/45) = 39.97 km/h.
CSS - PMS - CCE - PCS - Mathematics
TimeSpeed & Distance
Two vehicles travel in the same direction at 80 km/h and 60 km/h. What is their relative speed?
A. 20 km/h
B. 60 km/h
C. 140 km/h
D. 80 km/h
Correct Answer: A
For the same direction, relative speed = |80−60| = 20 km/h.
CSS - PMS - CCE - PCS - Mathematics
TimeSpeed & Distance
A vehicle travels at 30 km/h for 6 hours. What distance does it cover?
A. 174 km
B. 36 km
C. 180 km
D. 210 km
Correct Answer: C
Distance = speed × time = 30×6 = 180 km.
CSS - PMS - CCE - PCS - Mathematics
TimeSpeed & Distance
A traveler covers 150 km at 45 km/h and then 80 km at 55 km/h. What is the average speed for the whole journey?
A. 48.04 km/h
B. 45.00 km/h
C. 55.00 km/h
D. 50.00 km/h
Correct Answer: A
Average speed = total distance ÷ total time = 230 ÷ (150/45+80/55) = 48.04 km/h.
CSS - PMS - CCE - PCS - Mathematics
TimeSpeed & Distance
Two vehicles travel in the same direction at 50 km/h and 30 km/h. What is their relative speed?
A. 20 km/h
B. 80 km/h
C. 50 km/h
D. 30 km/h
Correct Answer: A
For the same direction, relative speed = |50−30| = 20 km/h.
CSS - PMS - CCE - PCS - Mathematics
TimeSpeed & Distance
A journey of 420 km is completed in 3 hours. What is the average speed?
A. 423 km/h
B. 150 km/h
C. 105 km/h
D. 140 km/h
Correct Answer: D
Speed = distance ÷ time = 420÷3 = 140 km/h.
CSS - PMS - CCE - PCS - Mathematics
TimeSpeed & Distance
A vehicle travels at 75 km/h for 7 hours. What distance does it cover?
A. 525 km
B. 82 km
C. 518 km
D. 600 km
Correct Answer: A
Distance = speed × time = 75×7 = 525 km.
CSS - PMS - CCE - PCS - Mathematics
TimeSpeed & Distance
A traveler covers 90 km at 55 km/h and then 120 km at 65 km/h. What is the average speed for the whole journey?
A. 55.00 km/h
B. 60.00 km/h
C. 65.00 km/h
D. 60.30 km/h
Correct Answer: D
Average speed = total distance ÷ total time = 210 ÷ (90/55+120/65) = 60.30 km/h.
CSS - PMS - CCE - PCS - Mathematics
TimeSpeed & Distance
Two vehicles travel in the same direction at 75 km/h and 40 km/h. What is their relative speed?
A. 115 km/h
B. 75 km/h
C. 35 km/h
D. 40 km/h
Correct Answer: C
For the same direction, relative speed = |75−40| = 35 km/h.
CSS - PMS - CCE - PCS - Mathematics
TimeSpeed & Distance
A journey of 300 km is completed in 3 hours. What is the average speed?
A. 110 km/h
B. 75 km/h
C. 303 km/h
D. 100 km/h
Correct Answer: D
Speed = distance ÷ time = 300÷3 = 100 km/h.
CSS - PMS - CCE - PCS - Mathematics
TimeSpeed & Distance
A vehicle travels at 45 km/h for 8 hours. What distance does it cover?
A. 360 km
B. 405 km
C. 352 km
D. 53 km
Correct Answer: A
Distance = speed × time = 45×8 = 360 km.
CSS - PMS - CCE - PCS - Mathematics
TimeSpeed & Distance
A traveler covers 130 km at 65 km/h and then 60 km at 75 km/h. What is the average speed for the whole journey?
A. 75.00 km/h
B. 67.86 km/h
C. 70.00 km/h
D. 65.00 km/h
Correct Answer: B
Average speed = total distance ÷ total time = 190 ÷ (130/65+60/75) = 67.86 km/h.
CSS - PMS - CCE - PCS - Mathematics
TimeSpeed & Distance
Two vehicles travel in the same direction at 45 km/h and 50 km/h. What is their relative speed?
A. 5 km/h
B. 95 km/h
C. 50 km/h
D. 45 km/h
Correct Answer: A
For the same direction, relative speed = |45−50| = 5 km/h.
CSS - PMS - CCE - PCS - Mathematics
TimeSpeed & Distance
A journey of 180 km is completed in 3 hours. What is the average speed?
A. 183 km/h
B. 70 km/h
C. 60 km/h
D. 45 km/h
Correct Answer: C
Speed = distance ÷ time = 180÷3 = 60 km/h.
CSS - PMS - CCE - PCS - Mathematics
TimeSpeed & Distance
A vehicle travels at 90 km/h for 2 hours. What distance does it cover?
A. 92 km
B. 178 km
C. 180 km
D. 270 km
Correct Answer: C
Distance = speed × time = 90×2 = 180 km.
CSS - PMS - CCE - PCS - Mathematics
TimeSpeed & Distance
A traveler covers 70 km at 35 km/h and then 100 km at 45 km/h. What is the average speed for the whole journey?
A. 40.00 km/h
B. 40.26 km/h
C. 45.00 km/h
D. 35.00 km/h
Correct Answer: B
Average speed = total distance ÷ total time = 170 ÷ (70/35+100/45) = 40.26 km/h.
CSS - PMS - CCE - PCS - Mathematics
TimeSpeed & Distance
Convert 126 km/h into metres per second.
A. 40 m/s
B. 453.6 m/s
C. 33 m/s
D. 35 m/s
Correct Answer: D
Multiply km/h by 5/18: 126×5/18 = 35 m/s.