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
1551
In a race of 600 m, A runs at 11 m/s and B at 10 m/s. What head start should A give B to finish together?
Answer:
54.55
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 600 m while B must cover 654.55 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 54.55 m.
1552
In a race of 550 m, A runs at 10 m/s and B at 9 m/s. What head start should A give B to finish together?
Answer:
55.0
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 550 m while B must cover 605.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 55.0 m.
1553
In a race of 900 m, A runs at 11 m/s and B at 10 m/s. What head start should A give B to finish together?
Answer:
81.82
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 981.8199999999999 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 81.82 m.
1554
In a race of 600 m, A runs at 10 m/s and B at 9 m/s. What head start should A give B to finish together?
Answer:
60.0
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 600 m while B must cover 660.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 60.0 m.
1555
In a race of 400 m, A runs at 11 m/s and B at 10 m/s. What head start should A give B to finish together?
Answer:
36.36
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 400 m while B must cover 436.36 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 36.36 m.
1556
In a race of 1200 m, A runs at 9 m/s and B at 8 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 1200 m while B must cover 1333.33 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 133.33 m.
1557
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.
1558
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.
1559
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.
1560
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.