Question

Travelling at $5 / 6^{\text {th }}$ of his usual speed a man is 10 minutes late. What is the usual time he takes to cover the same distance? (A) 50 minutes (B) 70 minutes (C) 1 hour (D) 75 minutes

Name: Problem 3, Chapter 2: Computer Science and Information Technology
Uploaded: 2022-01-08T15:28:47-08:00
Duration: 3 min 16 s
Channel: Vishal Gupta
Description: Travelling at 5 / 6^th of his usual speed a man is 10 minutes late. What is the usual time he takes to cover the same distance? (A) 50 minutes (B) 70 minutes (C) 1 hour (D) 75 minutes

   Travelling at $5 / 6^{\text {th }}$ of his usual speed a man is 10 minutes late. What is the usual time he takes to cover the same distance?
(A) 50 minutes
(B) 70 minutes
(C) 1 hour
(D) 75 minutes

Computer Science and Information Technology

Trishna Knowledge… 2018 Edition

Chapter 2, Problem 3

Instant Answer

Solved by Expert Vishal Gupta

01/08/2022

Step 1

Now, he is travelling at a speed of $v'$ which is equal to $\frac{5}{6}$ times of his usual speed. So, $v' = \frac{5}{6}v$. Show more…

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Travelling at $5 / 6^{\text {th }}$ of his usual speed a man is 10 minutes late. What is the usual time he takes to cover the same distance? (A) 50 minutes (B) 70 minutes (C) 1 hour (D) 75 minutes

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Key Concepts

Distance-Speed-Time Relationship

This key concept involves understanding the fundamental equation distance = speed × time. It is essential in determining how variations in speed affect travel time when the distance remains constant.

Inverse Proportionality of Speed and Time

When covering a fixed distance, the time taken is inversely proportional to the speed. This means that if the speed decreases, the time increases by the reciprocal factor, and vice versa. This principle is used to compare travel scenarios with different speeds.

Ratio and Proportion

In problems where speeds and times are compared, setting up ratios helps determine the changes involved. By comparing the reduced speed to the usual speed via a ratio, one can compute the corresponding change in time, which is critical for resolving the problem's conditions.

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