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
1601
In a race of 1200 m, A runs at 12 m/s and B at 11 m/s. What head start should A give B to finish together?
Answer:
100.0
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 1200 m while B must cover 1300.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 100.0 m.
1602
In a race of 1450 m, A runs at 9 m/s and B at 8 m/s. What head start should A give B to finish together?
Answer:
161.11
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 1611.1100000000001 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 161.11 m.
1603
In a race of 1450 m, A runs at 12 m/s and B at 11 m/s. What head start should A give B to finish together?
Answer:
120.83
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 1450 m while B must cover 1570.83 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 120.83 m.
1604
In a race of 900 m, A runs at 8 m/s and B at 7 m/s. What head start should A give B to finish together?
Answer:
112.5
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 900 m while B must cover 1012.5 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 112.5 m.
1605
In a race of 650 m, A runs at 9 m/s and B at 8 m/s. What head start should A give B to finish together?
Answer:
72.22
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 650 m while B must cover 722.22 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 72.22 m.
1606
In a race of 750 m, A runs at 12 m/s and B at 11 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 750 m while B must cover 812.5 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 62.5 m.
1607
In a race of 1500 m, A runs at 8 m/s and B at 7 m/s. What head start should A give B to finish together?
Answer:
187.5
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 1500 m while B must cover 1687.5 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 187.5 m.
1608
In a race of 950 m, A runs at 8 m/s and B at 7 m/s. What head start should A give B to finish together?
Answer:
118.75
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 1068.75 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 118.75 m.
1609
In a race of 1350 m, A runs at 12 m/s and B at 11 m/s. What head start should A give B to finish together?
Answer:
112.5
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 1350 m while B must cover 1462.5 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 112.5 m.
1610
In a race of 1500 m, A runs at 9 m/s and B at 8 m/s. What head start should A give B to finish together?
Answer:
166.67
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 1666.67 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 166.67 m.