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
1621
In a race of 950 m, A runs at 12 m/s and B at 11 m/s. What head start should A give B to finish together?
Answer:
79.17
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 950 m while B must cover 1029.17 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 79.17 m.
1622
In a race of 1250 m, A runs at 9 m/s and B at 8 m/s. What head start should A give B to finish together?
Answer:
138.89
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 1250 m while B must cover 1388.8899999999999 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 138.89 m.
1623
In a race of 450 m, A runs at 12 m/s and B at 11 m/s. What head start should A give B to finish together?
Answer:
37.5
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 450 m while B must cover 487.5 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 37.5 m.
1624
In a race of 1300 m, A runs at 12 m/s and B at 11 m/s. What head start should A give B to finish together?
Answer:
108.33
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 1300 m while B must cover 1408.33 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 108.33 m.
1625
In a race of 1000 m, A runs at 8 m/s and B at 7 m/s. What head start should A give B to finish together?
Answer:
125.0
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 1000 m while B must cover 1125.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 125.0 m.
1626
In a race of 1250 m, A runs at 12 m/s and B at 11 m/s. What head start should A give B to finish together?
Answer:
104.17
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 1250 m while B must cover 1354.17 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 104.17 m.
1627
In a race of 500 m, A runs at 8 m/s and B at 7 m/s. What head start should A give B to finish together?
Answer:
62.5
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 500 m while B must cover 562.5 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 62.5 m.
1628
In a race of 1500 m, A runs at 11 m/s and B at 10 m/s. What head start should A give B to finish together?
Answer:
136.36
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 1500 m while B must cover 1636.3600000000001 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 136.36 m.
1629
In a race of 1050 m, A runs at 10 m/s and B at 9 m/s. What head start should A give B to finish together?
Answer:
105.0
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 1050 m while B must cover 1155.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 105.0 m.
1630
In a race of 700 m, A runs at 8 m/s and B at 7 m/s. What head start should A give B to finish together?
Answer:
87.5
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 787.5 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 87.5 m.