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
5471
In a race of 800 m, A runs at 12 m/s and B at 11 m/s. What head start should A give B to finish together?
Answer:
66.67
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 800 m while B must cover 866.67 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 66.67 m.
5472
In a race of 400 m, A runs at 9 m/s and B at 8 m/s. What head start should A give B to finish together?
Answer:
44.44
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 400 m while B must cover 444.44 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 44.44 m.
5473
In a race of 1000 m, A runs at 11 m/s and B at 10 m/s. What head start should A give B to finish together?
Answer:
90.91
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 1000 m while B must cover 1090.91 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 90.91 m.
5474
In a race of 1400 m, A runs at 8 m/s and B at 7 m/s. What head start should A give B to finish together?
Answer:
175.0
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 1575.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 175.0 m.
5475
In a race of 1300 m, A runs at 10 m/s and B at 9 m/s. What head start should A give B to finish together?
Answer:
130.0
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 1300 m while B must cover 1430.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 130.0 m.
5476
In a race of 1600 m, A runs at 10 m/s and B at 9 m/s. What head start should A give B to finish together?
Answer:
160.0
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 1600 m while B must cover 1760.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 160.0 m.
5477
In a race of 1150 m, A runs at 10 m/s and B at 9 m/s. What head start should A give B to finish together?
Answer:
115.0
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 1150 m while B must cover 1265.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 115.0 m.
5478
In a race of 1250 m, A runs at 11 m/s and B at 10 m/s. What head start should A give B to finish together?
Answer:
113.64
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 1363.64 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 113.64 m.
5479
In a race of 550 m, A runs at 8 m/s and B at 7 m/s. What head start should A give B to finish together?
Answer:
68.75
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 550 m while B must cover 618.75 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 68.75 m.
5480
In a race of 650 m, A runs at 8 m/s and B at 7 m/s. What head start should A give B to finish together?
Answer:
81.25
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 731.25 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 81.25 m.