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A man started his journey 40 min later rhan usual time due to family fight. but due to urgent work he increased his speed to 1160 of his usual speed so he reached 35 min earlier at his destination. what is the usual time taken by him for the journey?
Verified Answer
A man started his journey 40 min later rhan usual time due to family f...
Answer :-
Let us assume that, usual speed of man is 10km/h and total distance coverd for work is D km .
so,
→ Usual time taken to go for work = D/S = (D/10) hours .
now,
→ New speed = 160% of 10 = (160 * 10)/100 = 16km/h .
then,
→ Time taken to reach at work = (D/16) hours .
A/q,
→ (D/10) - (D/16) = (40 + 35) minutes
→ (8D - 5D)/80 = (75/60)
→ 3D/80 = 5/4
→ 3D = 100
→ D = (100/3) km .
therefore,
→ Usual time taken to go for work = (100/3) * (1/10) = (10/3) hours
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A man started his journey 40 min later rhan usual time due to family f...
Problem Statement
A man started his journey 40 min later than usual time due to a family fight. But due to urgent work, he increased his speed to 1160 of his usual speed so he reached 35 min earlier at his destination. What is the usual time taken by him for the journey?
Understanding the Problem
Let's break down the given information:
- The man started his journey 40 minutes later than usual time.
- The man increased his speed to 1160 of his usual speed.
- The man reached 35 minutes earlier than usual time.
- We need to find the usual time taken by him for the journey.
Solution Approach
Let's assume the usual time taken by the man for the journey is x minutes.
When the man started his journey 40 minutes late, he lost 40 minutes from his usual time. So, he had only (x - 40) minutes left to reach his destination.
Now, the man increased his speed to 1160 of his usual speed. So, his new speed becomes 1160/1000 times his usual speed.
Let's use the formula:
Speed = Distance / Time
We know that the distance remains the same for both usual and new speeds. So, we can equate the distances:
Usual Speed * (x - 40) = New Speed * (x - 75)
Substituting New Speed = 1160/1000 * Usual Speed, we get:
Usual Speed * (x - 40) = (1160/1000 * Usual Speed) * (x - 75)
Simplifying the equation, we get:
x = 400
Final Answer
The usual time taken by the man for the journey is 400 minutes.
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A man started his journey 40 min later rhan usual time due to family fight. but due to urgent work he increased his speed to 1160 of his usual speed so he reached 35 min earlier at his destination. what is the usual time taken by him for the journey?
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A man started his journey 40 min later rhan usual time due to family fight. but due to urgent work he increased his speed to 1160 of his usual speed so he reached 35 min earlier at his destination. what is the usual time taken by him for the journey? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A man started his journey 40 min later rhan usual time due to family fight. but due to urgent work he increased his speed to 1160 of his usual speed so he reached 35 min earlier at his destination. what is the usual time taken by him for the journey? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man started his journey 40 min later rhan usual time due to family fight. but due to urgent work he increased his speed to 1160 of his usual speed so he reached 35 min earlier at his destination. what is the usual time taken by him for the journey?.
A man started his journey 40 min later rhan usual time due to family fight. but due to urgent work he increased his speed to 1160 of his usual speed so he reached 35 min earlier at his destination. what is the usual time taken by him for the journey? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A man started his journey 40 min later rhan usual time due to family fight. but due to urgent work he increased his speed to 1160 of his usual speed so he reached 35 min earlier at his destination. what is the usual time taken by him for the journey? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A man started his journey 40 min later rhan usual time due to family fight. but due to urgent work he increased his speed to 1160 of his usual speed so he reached 35 min earlier at his destination. what is the usual time taken by him for the journey?.
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