CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
For a round trip over equal outward and return distances, the speeds are 54 km/h and 72 km/h. Calculate the journey's mean speed.
A. 61.71 km/h
B. 59.71 km/h
C. 63.71 km/h
D. 65.71 km/h
Correct Answer: A
Equal-distance mean speed = 2×54×72/(54+72) = 61.71 km/h.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
For a round trip over equal outward and return distances, the speeds are 52 km/h and 70 km/h. Calculate the journey's mean speed.
A. 59.67 km/h
B. 63.67 km/h
C. 61.67 km/h
D. 57.67 km/h
Correct Answer: A
Equal-distance mean speed = 2×52×70/(52+70) = 59.67 km/h.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
For a round trip over equal outward and return distances, the speeds are 50 km/h and 68 km/h. Calculate the journey's mean speed.
A. 57.63 km/h
B. 55.63 km/h
C. 61.63 km/h
D. 59.63 km/h
Correct Answer: A
Equal-distance mean speed = 2×50×68/(50+68) = 57.63 km/h.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
For a round trip over equal outward and return distances, the speeds are 48 km/h and 66 km/h. Calculate the journey's mean speed.
A. 53.58 km/h
B. 59.58 km/h
C. 55.58 km/h
D. 57.58 km/h
Correct Answer: C
Equal-distance mean speed = 2×48×66/(48+66) = 55.58 km/h.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
For a round trip over equal outward and return distances, the speeds are 46 km/h and 64 km/h. Calculate the journey's mean speed.
A. 53.53 km/h
B. 55.53 km/h
C. 57.53 km/h
D. 51.53 km/h
Correct Answer: A
Equal-distance mean speed = 2×46×64/(46+64) = 53.53 km/h.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
For a round trip over equal outward and return distances, the speeds are 44 km/h and 62 km/h. Calculate the journey's mean speed.
A. 55.47 km/h
B. 51.47 km/h
C. 49.47 km/h
D. 53.47 km/h
Correct Answer: B
Equal-distance mean speed = 2×44×62/(44+62) = 51.47 km/h.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
For a round trip over equal outward and return distances, the speeds are 42 km/h and 60 km/h. Calculate the journey's mean speed.
A. 49.41 km/h
B. 51.41 km/h
C. 53.41 km/h
D. 47.41 km/h
Correct Answer: A
Equal-distance mean speed = 2×42×60/(42+60) = 49.41 km/h.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
For a round trip over equal outward and return distances, the speeds are 40 km/h and 58 km/h. Calculate the journey's mean speed.
A. 49.35 km/h
B. 51.35 km/h
C. 45.35 km/h
D. 47.35 km/h
Correct Answer: D
Equal-distance mean speed = 2×40×58/(40+58) = 47.35 km/h.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
For a round trip over equal outward and return distances, the speeds are 38 km/h and 56 km/h. Calculate the journey's mean speed.
A. 47.28 km/h
B. 45.28 km/h
C. 43.28 km/h
D. 49.28 km/h
Correct Answer: B
Equal-distance mean speed = 2×38×56/(38+56) = 45.28 km/h.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
For a round trip over equal outward and return distances, the speeds are 36 km/h and 54 km/h. Calculate the journey's mean speed.
A. 47.2 km/h
B. 43.2 km/h
C. 45.2 km/h
D. 41.2 km/h
Correct Answer: B
Equal-distance mean speed = 2×36×54/(36+54) = 43.2 km/h.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A car travels 120 km at 58 km/h and then 80 km at an unknown speed. Its overall average is 66.92 km/h. Find the second speed.
A. 89 km/h
B. 87 km/h
C. 91 km/h
D. 85 km/h
Correct Answer: B
Use 200/66.92 = 120/58 + 80/v. Solving gives v=87 km/h.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A car travels 120 km at 56 km/h and then 80 km at an unknown speed. Its overall average is 64.62 km/h. Find the second speed.
A. 88 km/h
B. 84 km/h
C. 86 km/h
D. 82 km/h
Correct Answer: B
Use 200/64.62 = 120/56 + 80/v. Solving gives v=84 km/h.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A car travels 120 km at 54 km/h and then 80 km at an unknown speed. Its overall average is 62.31 km/h. Find the second speed.
A. 79 km/h
B. 83 km/h
C. 81 km/h
D. 85 km/h
Correct Answer: C
Use 200/62.31 = 120/54 + 80/v. Solving gives v=81 km/h.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A car travels 120 km at 52 km/h and then 80 km at an unknown speed. Its overall average is 60 km/h. Find the second speed.
A. 78 km/h
B. 76 km/h
C. 82 km/h
D. 80 km/h
Correct Answer: A
Use 200/60 = 120/52 + 80/v. Solving gives v=78 km/h.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A car travels 120 km at 50 km/h and then 80 km at an unknown speed. Its overall average is 57.69 km/h. Find the second speed.
A. 75 km/h
B. 73 km/h
C. 77 km/h
D. 79 km/h
Correct Answer: A
Use 200/57.69 = 120/50 + 80/v. Solving gives v=75 km/h.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A car travels 120 km at 48 km/h and then 80 km at an unknown speed. Its overall average is 55.38 km/h. Find the second speed.
A. 72 km/h
B. 76 km/h
C. 70 km/h
D. 74 km/h
Correct Answer: A
Use 200/55.38 = 120/48 + 80/v. Solving gives v=72 km/h.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A car travels 120 km at 46 km/h and then 80 km at an unknown speed. Its overall average is 53.08 km/h. Find the second speed.
A. 69 km/h
B. 67 km/h
C. 71 km/h
D. 73 km/h
Correct Answer: A
Use 200/53.08 = 120/46 + 80/v. Solving gives v=69 km/h.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A car travels 120 km at 44 km/h and then 80 km at an unknown speed. Its overall average is 50.77 km/h. Find the second speed.
A. 70 km/h
B. 68 km/h
C. 64 km/h
D. 66 km/h
Correct Answer: D
Use 200/50.77 = 120/44 + 80/v. Solving gives v=66 km/h.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A car travels 120 km at 42 km/h and then 80 km at an unknown speed. Its overall average is 48.46 km/h. Find the second speed.
A. 65 km/h
B. 67 km/h
C. 61 km/h
D. 63 km/h
Correct Answer: D
Use 200/48.46 = 120/42 + 80/v. Solving gives v=63 km/h.
CSS - PMS - CCE - PCS - Mathematics
Average / Arithmetic Mean
A car travels 120 km at 40 km/h and then 80 km at an unknown speed. Its overall average is 46.15 km/h. Find the second speed.
A. 58 km/h
B. 62 km/h
C. 60 km/h
D. 64 km/h
Correct Answer: C
Use 200/46.15 = 120/40 + 80/v. Solving gives v=60 km/h.