# Prerna starts from Place A at 5 am at constant speed of 50km/h. She halts at Place B for half an hour and then drives at 30 km/h. If she reaches Place C at 8:30 am, which is 100 km away from Place A, how far is Place A from Place B?

This question was previously asked in
MP ITI TO Fitter 20 Dec 2022 Official Paper (Shift 1)
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1. 25 km
2. 10 km
3. 5 km
4. 18 km

Option 1 : 25 km
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## Detailed Solution

Given:

Speed of Prerna for A to B = 50 km/h

Speed of Prerna for B to C = 30 km/h

She halts for 30 mins

Concept used:

Distance = Speed × time

Calculation:

Let the distance between A and B be x km

So, distance between B and C = (100 - x) km

According to the question,

$$\frac{x}{50} + \frac{100-x}{30}= 3$$

⇒ $$\frac{3x + 500 - 5x}{150} = 3$$

⇒ - 2x + 500 = 450

⇒ 2x = 50

⇒ x = 25

So, distance between A and B = 25 km

∴ The required distance is 25 km.

Latest MP ITI Training Officer Updates

Last updated on Apr 10, 2023

MP ITI Training Officer Result was released for the written exam that was held from 16th to 24th December 2022. The cut-off scores have been uploaded as well.  MP ITI Training Officer Detailed Notification has been released for advt. no 27/2022. The candidates will be able to apply online from 1st November to 15th November 2022 and rectify the errors in the application form from 1st November to 20th November 2022. For the same, the candidates must refer to the MP ITI Training Officer Previous Year Papers.
The text passage contains a mathematical word problem about distance, speed, and time, followed by a multiple-choice section and a detailed solution.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Prerna starts from Place A at 5 am at constant speed of 50km/h. She halts at Place B for half an hour and then drives at 30 km/h. If she reaches Place C at 8:30 am, which is 100 km away from Place A, how far is Place A from Place B?

This question was previously asked in
MP ITI TO Fitter 20 Dec 2022 Official Paper (Shift 1)
View all MP ITI Training Officer Papers >
1. 25 km
2. 10 km
3. 5 km
4. 18 km

Option 1 : 25 km
Free
DRDO Technician Electrician(Score Booster): Mini Mock Test
6.2 K Users
60 Questions 60 Marks 45 Mins

## Detailed Solution

Given:

Speed of Prerna for A to B = 50 km/h

Speed of Prerna for B to C = 30 km/h

She halts for 30 mins

Concept used:

Distance = Speed × time

Calculation:

Let the distance between A and B be x km

So, distance between B and C = (100 - x) km

According to the question,

$$\frac{x}{50} + \frac{100-x}{30}= 3$$

⇒ $$\frac{3x + 500 - 5x}{150} = 3$$

⇒ - 2x + 500 = 450

⇒ 2x = 50

⇒ x = 25

So, distance between A and B = 25 km

∴ The required distance is 25 km.

Latest MP ITI Training Officer Updates

Last updated on Apr 10, 2023

MP ITI Training Officer Result was released for the written exam that was held from 16th to 24th December 2022. The cut-off scores have been uploaded as well.  MP ITI Training Officer Detailed Notification has been released for advt. no 27/2022. The candidates will be able to apply online from 1st November to 15th November 2022 and rectify the errors in the application form from 1st November to 20th November 2022. For the same, the candidates must refer to the MP ITI Training Officer Previous Year Papers.
user
The text passage contains a mathematical word problem about distance, speed, and time, followed by a multiple-choice section and a detailed solution.

TYPE: SINGLE_QUESTION_WITH_ANSWER