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
1611
In a race of 550 m, A runs at 12 m/s and B at 11 m/s. What head start should A give B to finish together?
Answer:
45.83
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 550 m while B must cover 595.83 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 45.83 m.
1612
In a race of 1050 m, A runs at 11 m/s and B at 10 m/s. What head start should A give B to finish together?
Answer:
95.45
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 1145.45 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 95.45 m.
1613
In a race of 1250 m, A runs at 8 m/s and B at 7 m/s. What head start should A give B to finish together?
Answer:
156.25
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 1250 m while B must cover 1406.25 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 156.25 m.
1614
In a race of 1350 m, A runs at 11 m/s and B at 10 m/s. What head start should A give B to finish together?
Answer:
122.73
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 1472.73 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 122.73 m.
1615
In a race of 1550 m, A runs at 10 m/s and B at 9 m/s. What head start should A give B to finish together?
Answer:
155.0
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 1550 m while B must cover 1705.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 155.0 m.
1616
In a race of 1400 m, A runs at 11 m/s and B at 10 m/s. What head start should A give B to finish together?
Answer:
127.27
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 1527.27 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 127.27 m.
1617
In a race of 1350 m, A runs at 9 m/s and B at 8 m/s. What head start should A give B to finish together?
Answer:
150.0
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 1500.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 150.0 m.
1618
In a race of 1050 m, A runs at 8 m/s and B at 7 m/s. What head start should A give B to finish together?
Answer:
131.25
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 1050 m while B must cover 1181.25 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 131.25 m.
1619
In a race of 600 m, A runs at 9 m/s and B at 8 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 600 m while B must cover 666.67 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 66.67 m.
1620
In a race of 550 m, A runs at 11 m/s and B at 10 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 550 m while B must cover 600.0 m at the slower speed. 4. Head start = distance * (1 - speed_B/speed_A) = 50.0 m.