Table of Contents

## Time Speed and Distance Questions

In this article, we will discuss the speed formulas and time and distance aptitude questions. As this topic forms an integral part of every competitive exam, you cannot afford to miss this topic. This article will equip you to solve all time, speed and distance word problems MCQ

**What is Time Speed and Distance**

The speed is the time rate of change of the distance. If ‘D’ is the distance of an object in some time ‘T’, the speed is equal to, s = D/T. It has the same units as velocity.

**Time speed and distance formula**

**Average Speed Formula**

Average speed = Total Distance covered/ Total Time Taken

When the distance is constant: Average speed = 2xy/x+y; Where x and y are the two speeds at which the same distance has been covered.

When the time taken is constant: Average speed = (x + y)/2; Where, x and y are the two speeds at which we traveled for the same time.

**Time and Distance Formula**

Distance = Speed × Time. Using this formula, all basic problems can be handled. However, you need to make sure about the correct usage of units while using the above formulas.

Speed is inversely proportional to the time taken when the distance traveled is constant. So when speed increases, time decreases, and vice versa.

**Relative Speed**

Relative speed is defined as the speed of a moving object with respect to another. When two objects are moving in the same direction, the relative speed is calculated as their difference. When the two objects are moving in opposite directions, the relative speed is computed by adding the two speeds.

**Important of Time Speed and Distance **

Important of Time Speed and Distance – we have provided new PDF of Time Speed and Distance Quantitative Aptitude Questions Candidates those who are appearing in Bank PO/Clerk, Insurance, SSC CGL/CHSL, Railway JE/NTPC, CAT, and other Competitive Exams can practice these Quantitative Aptitude Time Speed and Distance Questions daily basis and boost your Preparation

**Trick to solve** **Time Speed and Distance**

**1. Basic Formulas:**

**Example:**If a person travels some distance in 2 hours at a speed of 20 km/h.

**Solution:**

D=S×T

D= 20×2

D = 40 km.

**2. To convert from Km/h to m/s multiply by 5/18.**

**Example:**A person travels 72 km distance in 4 hours. Find his speed in m/s.

**Solution:**

**3. To convert from m/s to Km/h multiply by 18/5.**

**Example:**A person crosses a 900 m long street in 10 minutes. Find his speed in Km/h.

**Solution:**

**4. If a person travels some distance at x km/h instead of y km/h, he would have walked ‘a’ km more, then actual Distance:**

**Example:**If Mohan walks at 18 km/h instead of 12 km/h he can cover 48 km more. What is the actual distance?

**Solution:**

**5. If a person travel some distance at x km/h instead of y km/h, he would have walked ‘a’ km less, then actual Distance:**

**Example:**If Sushil walks at 40 km/h instead of 45 km/h he can cover 10 km less. What is the actual distance?

**Solution:**

**6. If a person travels some distance travels hours. He covers half of the distance at x km/h and second half speed at y km/h then Distance:**

**Example:**If a man covers certain distance in 12 hours by scooter. He covers half of the distance at a speed of 25 km/h and another half distance at a speed of 15 km/h. What will be the distance covered by him?

**Solution:**

**7. A person takes x hour in walking to a certain distance and riding back. If he takes y hour by riding both sides then time taken by both side by walking:**

**Example:**Sushant takes 7 hour 40 minutes in walking to a certain distance and riding back by car. If he takes 5 hour 20 minutes by walking both sides then find time taken by riding both sides.

**Solution**

**:**

**8. If a person covers some distance at a speed of x km/h, he gets late by ‘a’ hour. If he covers same distance at a speed of y km/h, he reaches ‘b’ hour early then distance:**

**Example:**If Seema covers ‘A’ distance at a speed of 60 km/h, he gets late by 20 minutes. If she covers same distance at a speed of 55 km/h, she reaches 10 minute early. What is value of

**Solution:**

**9. If a person covers some distance at a speed of x km/h, he gets late by ‘a’ hour. If he covers same distance at a speed of y km/h, he gets late by ‘b’ hour, then distance:**

**Example:**If Rohan covers ‘A’ distance at a speed of 36 km/h, he gets late by 10 minutes. If he covers same distance at a speed of 40 km/h, she gets 6 minutes late. What is the value of A?

**Solution:**

**10. If a person covers some distance at a speed of x km/h, he reaches early by ‘a’ hour. If he covers same distance at a speed of y km/h, he reaches early by ‘b’ hour, then distance:**

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