if you want to remove an article from website contact us from top.

# 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

Category :

### Mohammed

Guys, does anyone know the answer?

get 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 from screen.

## A train can travel 50 Question

A

B

C

D

## 130 kmph

Easy Open in App Solution Verified by Toppr

Correct option is C)

Let speed of the car be  kmph.

Then, speed of the train =

100 150 ​ ×=( 2 3 ​ ×)kmph ∴ x 75 ​ − (3/2)x 75 ​ = 10×60 125 ​ ⇒ x 75 ​ − x 50 ​ = 24 5 ​ ⇒x=( 5 25×24 ​ )=120kmph

57 25

स्रोत : www.toppr.com

## A train can travel 50 % faster than a car. Both start from point A at the same time and reach point B 75 kilometres 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 isA. 100 kmphB. 110 kmphC. 130 kmphD. 120 kmph

A train can travel 50 % faster than a car. Both start from point A at the same time and reach point B 75 kilometres 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 isA. 100 kmphB. 110 kmphC. 130 kmphD. 120 kmph Sum and Product of Roots of a Quadratic Equation

A train can t... Question

A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kilometres 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

A 100 kmph B 110 kmph C 120 kmph D 130 kmph Open in App Solution

The correct option is D 120 km/h

Step 1, Given data

Speed of the train is 50% more than the speed of the car

Distance = 75 km

Time lost by the train = 12.5 min =

12.5 60 h

Step 2, Finding the speed

Let the speed of the car be x kmph.

Then, speed of the train

= 150 x 100 = 3 x 2 km/h

According to the question

∴ 75 2 − 75 ( 3 2 ) x = 125 10 × 60 ⇒ 75 x − 50 x = 5 24 After solving ⇒ x = [ 25 × 24 50 ] = 120 km/h

Hence the speed of the car is 120 km/h

Sum and Product of Roots of a Quadratic Equation

Standard X Mathematics

Suggest Corrections 30 SIMILAR QUESTIONS

Q. A train can travel

50

% faster than a car. Both start from point

A

at the same time and reach point

B 75 k m s 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

Q. A train can travel 50% faster than a car Both start from point A at the same time and reach point B 75 km 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 isQ.

A car can travel 25% faster than a train. Both start from point A at the same time and reach point B 50 kms away from A at the same time. On the way, however, the car lost about 25 minutes while stopping at the petrol pump. The speed of the train is:

Q. A train travels

40

% faster than a car. Both start from point A at the same time and reach point B,

140 k m

away at the same time. On the way the train takes

25

minutes for stopping at the stations. What is the speed (in km/hr) of the train?

Q. A train moves at a speed, which is

50 %

more than the speed of a car. Both start from the point P simultaneously and arrive at a point Q,

120

km away from P at the same time. While on the way, however, the train lost about half an hour while taking halt at the stations. The speed of the car is

View More

स्रोत : byjus.com

## [Solved] A train can travel 50% faster than a car. Both start from po

Given: Speed of train = 150% of the speed of the car Formula  used: Speed = Distance/Time Calculation: Let the speed of the car be x km/h So the spee Home Quantitative Aptitude Speed Time and Distance

## 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

This question was previously asked in

UJVNL AE EE 2016 Official Paper

View all UJVNL AE Papers >

100 km/hr 110 km/hr 120 km/hr 130 km/hr

Option 3 : 120 km/hr

Crack AE & JE - Civil with

India's Super Teachers

FREE

Demo Classes Available*

Free Tests

View all Free tests >

FREE

ST 1: Building Materials

2.7 K Users

20 Questions 20 Marks 20 Mins

Start Now

## Detailed Solution

Given:

Speed of train = 150% of the speed of the car

Formula  used:

Speed = Distance/Time

Calculation:

Let the speed of the car be x km/h

So the speed of the train will be 1.5x km/h

According to the question

⇒ 75/x - 75/1.5x = 12.5/60

⇒ (112.5 - 75)/1.5x = 12.5/60

⇒ 37.5/1.5x = 12.5/60

⇒ 1.5x = 37.5 × (60/12.5)

⇒ x = 180/1.5 ⇒ x = 120 km/h

∴ The speed of the car is 120 km/hConcept used:

When the distance is constant

Speed ∝ 1/TIme

Calculation:

The ratio of speed of the Tain and the Car is

⇒ 3 : 2

TrainCarSpeed

3 2

Time

2 3

The difference of the time is 12.5 minutes

⇒ 3x - 2x = 12.5/60 hours

⇒ x = 12.5/60 hour

Time taken by car is

⇒ 3 × 12.5/60 = 12.5/20

Speed of the car is ⇒ 75/(12.5/20) ⇒ (75 × 20)/12.5 ⇒ 120 km/h

∴ The speed of the car is 120 km/h

Share on Whatsapp

Last updated on Oct 19, 2022

The Uttarakhand Jal Vidyut Nigam Limited is going to release the notification for Assistant Engineer soon. The vacancy details will be released with the detailed notification. As per the previous notification a total of 21 vacancies were released for UJVNL AE Recruitment. The applicants must meet the UJVNL AE Eligibility Criteria to attend the recruitment. Selection of the candidates is based on the Written Test and Interview.

With hundreds of Questions based on Speed Time and Distance, we help you gain expertise on Quantitative Aptitude. All for free. Explore Testbook Learn to attain the subject expertise with us.

India’s #1 Learning Platform

Start Complete Exam Preparation

Daily Live MasterClasses

Practice Question Bank

Mock Tests & Quizzes

Trusted by 3.4 Crore+ Students

‹‹ Previous Ques Next Ques ››

## More Speed Time and Distance Questions

Q1. A train 100 metres long, moving at a speed of 50 km per hour, crosses another train 120 metres long coming from the opposite direction in 6 seconds. What is the speed of the second train?Q2. A train leaves Meerut at 5 a.m. and reaches Delhi at 9 a.m. Another train leaves Delhi at 7 a.m. and reaches Meerut at 10:30 a.m. At what time do the two trains cross each other?Q3. A man covers a distance of 61 km in 9 hours. He travels some distance by bicycle at 9 km per hour and some distance by foot at 4 km per hour. Then the distance traveled by him on the bicycle will be:Q4. A person goes from A to B with speed 40 km/hr & return from B to A with speed 30 km/hr. Whole journey takes 14 hr, then find the distance between A & B in Km.Q5. Two friends A and B set out from places X and Y respectively which are 390 km apart. If they are moving in opposite directions at the speed of 5 kmph and 8 kmph respectively, in what time will they cross each other?Q6. A car moves from point A to point B 50% faster than a bike. The bike was 120 km away from the car and was moving towards the point B. If both those vehicles reach B at the same time, what is the distance between A and B?Q7. Both sisters Asha and Nisha want to meet their aunt who is 25 km away. Asha left home at 9 am at the speed of 4 km per hour and Nisha started at 11:30 on a bicycle at the speed of 9 km per hour. So when will Nisha reach Asha?Q8. A person covers a road 600 meters long in 5 minutes. What is its speed in km per hour?Q9. Train A starts from Mumbai at 5.00 AM for Delhi. Train B starts from Delhi at 7.00 AM for Mumbai. Distance between Delhi and Mumbai is 720km. Speed of train B is 60km/hr. Train A can cross a 150m pole in 5 sec. Find the time at which both trains will meet?Q10. A bus travels from station A to station B and covers the total distance in 6 hours. It covered the first half distance at 48 km/hr and the second half distance at 60 km/hr. Find the total distance covered by the bus.

स्रोत : testbook.com

Do you want to see answer or more ?
Mohammed 2 month ago

Guys, does anyone know the answer?