My Learning Cart
?
Categories
Account

A can run a race in 100 seconds, while B can run it in 120 seconds. If they star

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: A can run a race in 100 seconds, while B can run it in 120 seconds. If they start together, how much time will A lead B after 1 minute?

Options:

  1. 20 seconds
  2. 25 seconds
  3. 30 seconds
  4. 15 seconds

Correct Answer: 25 seconds

Solution: 

A\'s speed = 1/100, B\'s speed = 1/120. In 60 seconds, A covers 60/100 = 0.6 km, B covers 60/120 = 0.5 km. Lead = 0.6 - 0.5 = 0.1 km. Time lead = 0.1 / (1/100) = 10 seconds.

A can run a race in 100 seconds, while B can run it in 120 seconds. If they star

Practice Questions

Q1
A can run a race in 100 seconds, while B can run it in 120 seconds. If they start together, how much time will A lead B after 1 minute?
  1. 20 seconds
  2. 25 seconds
  3. 30 seconds
  4. 15 seconds

Questions & Step-by-Step Solutions

A can run a race in 100 seconds, while B can run it in 120 seconds. If they start together, how much time will A lead B after 1 minute?
  • Step 1: Determine the speed of A. A can run the race in 100 seconds, so A's speed is 1 race per 100 seconds, which is 1/100 races per second.
  • Step 2: Determine the speed of B. B can run the race in 120 seconds, so B's speed is 1 race per 120 seconds, which is 1/120 races per second.
  • Step 3: Calculate how far A runs in 60 seconds. A's speed is 1/100 races per second, so in 60 seconds, A runs 60 * (1/100) = 0.6 races.
  • Step 4: Calculate how far B runs in 60 seconds. B's speed is 1/120 races per second, so in 60 seconds, B runs 60 * (1/120) = 0.5 races.
  • Step 5: Find the lead A has over B after 60 seconds. A runs 0.6 races and B runs 0.5 races, so the lead is 0.6 - 0.5 = 0.1 races.
  • Step 6: Convert the lead in races to time. Since A's speed is 1/100 races per second, the time it takes A to cover the lead of 0.1 races is 0.1 / (1/100) = 10 seconds.
  • Speed and Distance Calculation – Understanding how to calculate speed as distance over time and applying it to find the distance covered in a given time.
  • Relative Speed – Analyzing the difference in speeds of two runners to determine the lead of one over the other.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks