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
1581
In a race of 650 m, A runs at 10 m/s and B at 9 m/s. What head start should A give B to finish together?
Answer:
65.0
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 650 m while B must cover 715.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 65.0 m.
1582
In a race of 1150 m, A runs at 8 m/s and B at 7 m/s. What head start should A give B to finish together?
Answer:
143.75
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 1150 m while B must cover 1293.75 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 143.75 m.
1583
In a race of 500 m, A runs at 12 m/s and B at 11 m/s. What head start should A give B to finish together?
Answer:
41.67
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 500 m while B must cover 541.67 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 41.67 m.
1584
In a race of 450 m, A runs at 9 m/s and B at 8 m/s. What head start should A give B to finish together?
Answer:
50.0
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 450 m while B must cover 500.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 50.0 m.
1585
In a race of 1500 m, A runs at 12 m/s and B at 11 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 1500 m while B must cover 1625.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 125.0 m.
1586
In a race of 400 m, A runs at 10 m/s and B at 9 m/s. What head start should A give B to finish together?
Answer:
40.0
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 400 m while B must cover 440.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 40.0 m.
1587
In a race of 650 m, A runs at 11 m/s and B at 10 m/s. What head start should A give B to finish together?
Answer:
59.09
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 709.09 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 59.09 m.
1588
In a race of 750 m, A runs at 11 m/s and B at 10 m/s. What head start should A give B to finish together?
Answer:
68.18
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 750 m while B must cover 818.1800000000001 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 68.18 m.
1589
In a race of 850 m, A runs at 9 m/s and B at 8 m/s. What head start should A give B to finish together?
Answer:
94.44
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 944.44 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 94.44 m.
1590
In a race of 1350 m, A runs at 10 m/s and B at 9 m/s. What head start should A give B to finish together?
Answer:
135.0
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 1350 m while B must cover 1485.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 135.0 m.