All Categories MCQs
Topic Notes: All Categories
General Description
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
1641
In a race of 1450 m, A runs at 10 m/s and B at 9 m/s. What head start should A give B to finish together?
Answer:
145.0
Step-by-step solution: 1. For a dead heat, both runners must take equal time. 2. Use time = distance / speed for each runner. 3. A covers 1450 m while B must cover 1595.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 145.0 m.
1642
In a race of 1100 m, A runs at 9 m/s and B at 8 m/s. What head start should A give B to finish together?
Answer:
122.22
Step-by-step solution: 1. For a dead heat, both runners must take equal time. 2. Use time = distance / speed for each runner. 3. A covers 1100 m while B must cover 1222.22 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 122.22 m.
1643
In a race of 800 m, A runs at 11 m/s and B at 10 m/s. What head start should A give B to finish together?
Answer:
72.73
Step-by-step solution: 1. For a dead heat, both runners must take equal time. 2. Use time = distance / speed for each runner. 3. A covers 800 m while B must cover 872.73 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 72.73 m.
1644
In a race of 700 m, A runs at 10 m/s and B at 9 m/s. What head start should A give B to finish together?
Answer:
70.0
Step-by-step solution: 1. For a dead heat, both runners must take equal time. 2. Use time = distance / speed for each runner. 3. A covers 700 m while B must cover 770.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 70.0 m.
1645
In a race of 1300 m, A runs at 11 m/s and B at 10 m/s. What head start should A give B to finish together?
Answer:
118.18
Step-by-step solution: 1. For a dead heat, both runners must take equal time. 2. Use time = distance / speed for each runner. 3. A covers 1300 m while B must cover 1418.18 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 118.18 m.
1646
In a race of 850 m, A runs at 12 m/s and B at 11 m/s. What head start should A give B to finish together?
Answer:
70.83
Step-by-step solution: 1. For a dead heat, both runners must take equal time. 2. Use time = distance / speed for each runner. 3. A covers 850 m while B must cover 920.83 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 70.83 m.
1647
In a race of 1550 m, A runs at 11 m/s and B at 10 m/s. What head start should A give B to finish together?
Answer:
140.91
Step-by-step solution: 1. For a dead heat, both runners must take equal time. 2. Use time = distance / speed for each runner. 3. A covers 1550 m while B must cover 1690.91 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 140.91 m.
1648
In a race of 1600 m, A runs at 12 m/s and B at 11 m/s. What head start should A give B to finish together?
Answer:
133.33
Step-by-step solution: 1. For a dead heat, both runners must take equal time. 2. Use time = distance / speed for each runner. 3. A covers 1600 m while B must cover 1733.33 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 133.33 m.
1649
In a race of 1400 m, A runs at 9 m/s and B at 8 m/s. What head start should A give B to finish together?
Answer:
155.56
Step-by-step solution: 1. For a dead heat, both runners must take equal time. 2. Use time = distance / speed for each runner. 3. A covers 1400 m while B must cover 1555.56 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 155.56 m.
1650
In a race of 1400 m, A runs at 10 m/s and B at 9 m/s. What head start should A give B to finish together?
Answer:
140.0
Step-by-step solution: 1. For a dead heat, both runners must take equal time. 2. Use time = distance / speed for each runner. 3. A covers 1400 m while B must cover 1540.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 140.0 m.