Time and Distance Problems with Solutions

Ads

Introduction

Nithra Jobs explores one of the essential topics in quantitative aptitude - time and distance problems with solutions. These problems assess your ability to calculate the time taken to cover a certain distance or the speed required to reach a destination within a specified time. Time and distance aptitude questions are commonly encountered in various competitive exams, interviews, and real-life situations.

Mastering time and distance concepts will not only enhance your problem-solving skills but also boost your confidence in dealing with everyday scenarios that involve travel and transportation. Whether you are a job seeker preparing for an upcoming interview or a student aspiring to crack a competitive exam, understanding time and distance problems is crucial to your success. Click here to know about the time and distance formulas.

1. A man in a train notices that he can count 33 telephone posts in one minute. If they are known to be 50 meters apart, then at what speed is the train traveling?

Answer: 96 km / hr

Explanation:

Number of gaps between 33 telephone posts = 32

Distance traveled in 1 minute = ( 32 * 50 ) m

= 1600 m

= 1.6 km

Using the formula,

Speed = Distance / Time

Speed = 1.6 / ( 1 / 60 )

= 1.6 * 60

= 96 km / hr

Speed of the train traveling is 96 km / hr.

2. A motorist travels for 7 hours, the first half at 32 Kmph and the rest at 42 Kmph. Find the distance travelled by him?

Answer: 259 km

Explanation:

Distance = Speed * Time

Time for 1st half = 3.5 hrs and second half = 3.5 hrs

Distance travelled = ( 32 * 3.5 ) + ( 42 * 3.5 )

= 112 + 147

= 259 km

The distance Travelled by him is 259 km.

3. A car travelling with 12 / 5 of its actual speed covers 40 km in 1 hr 40 min. Find the actual speed of the car?

Answer: 10 km / hr

Explanation:

Given data,

Time taken = 1 hr 40 min

= 1 hr ( 40 / 60 ) hr

= 1 hr ( 2 / 3 ) hr

= 1 ( 2 / 3 ) hr

= 5 / 3 hr

Let the actual speed be x km / hr

Using the formula,

Distance = Speed * Time

40 = ( 12 / 5 ) x * ( 5 / 3 )

40 = 12x / 3

40 = 4x

x = 40 / 4

x = 10 km / hr

The actual speed of the car is 10 km / hr

4. In covering a distance of 45 km, Ravi takes 2 hours more than Amit. If Ravi doubles his speed, then he would take 1 hour less than Amit. Ravi's speed is?

Answer: 7.5 km / hr

Explanation:

Let Ravi's speed be x km / hr

Using the formula, Speed = Distance / Time Then,

( 2 + 1 ) = ( 45 / x ) - ( 45 / 2x )

3 = ( 45 / x ) - ( 45 / 2x )

3 = ( 90 - 45 ) / 2x

3 = 45 / 2x

2x = 45 / 3

x = 15 / 2

= 7.5 km / hr

Ravi's speed is 7.5 km / hr

5. If a person walks at 15 km/hr instead of 10 km/hr, he would have walked 20 km more. Find the actual distance travelled by him?

Answer: 40 km

Explanation:

Let the actual distance travelled be x km.

⇒ x / 10 = ( x + 20 ) / 15

⇒ 15x = 10x + 200

⇒ 15x - 10x = 200

⇒ 5x = 200

⇒ x = 200 / 5

⇒ x = 40 km

The actual distance travelled by him is 40 km

Problems for Practice:

1. A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?

2. An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in 1 hours, it must travel at a speed of?

3. If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is?

4. A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is?

5. Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

Conclusion

Remember, practice is the key to mastering this topic. Continuously challenge yourself with more aptitude problems to sharpen your skills and boost your speed and accuracy. The more you practice, the more comfortable you will become in solving time and distance problems quickly and efficiently. Keep exploring our Nithra Jobs platform to enhance your knowledge and stay ahead in the competitive job market.