Bissoy.com
Doctors Medicines MCQs Q&A

By travelling at 5/6th of her usual speed, Nidhi reaches 5 minutes late to her office. What is the usual time taken by her to reach the office?

By travelling at 5/6th of her usual speed, Nidhi reaches 5 minutes late to her office. What is the usual time taken by her to reach the office? Correct Answer 25 minutes

Given:

By travelling at 5/6th of her usual speed,

Nidhi reaches 5 minutes late to her office

Formula Used:

Speed = Distance/Time

Calculation:

Let the distance travelled by Nidhi be x km,

Her usual speed be v km/hr and

The usual time taken by her to reach the office be t hours.

So, v = x/t

At speed = 5v/6,

Time taken by her to reach the office = {t + (5/60)} hours

So, 5v/6 = x/{t + (5/60)}

⇒ 5x/6t = x/{t + (5/60)}

⇒ 6t/5 = {t + (5/60)}

⇒ 6t = 5t + 25/60

⇒ t = 25/60 hours = 25 minutes

∴ The usual time to reach the office is 25 minutes.

Related Questions

If Rati travels at his usual speed for ‘x’ hours, he covers the same distance as he covered when he travels at a speed 30 km/hr less than usual, but for (x + 3) hours. Which of the following can be determined? (A) If he travels at 20 km/hr less speed than usual, he can cover a distance of 240 km in (x - 1) hours. What is the value of ‘x’? (B) If travels at his usual speed for (t + 2) hours, and at 50% of his usual speed for (t - 2) hours, his average speed for the journey is 68 km/hr. What is his usual speed? (C) His usual speed (in km/hr) is a multiple of 5 between 40 and 50 (both inclusive). If ‘x’ is a whole number, what is his usual speed? (D) If he travels at his usual speed for ‘t’ hours, he covers a distance of 400 km. What is the value of ‘x’?
Vimal starts for office every day at 9 am and reaches exactly on time if she drives at her usual speed of 40 km/hr. She is late by 6 minutes if she drives at 35 km/hr. One day, she coves two-thirds of her distance to the office in one-thirds of her usual time to reach office and then stops for 8 minutes. The speed, in km/hr at which she should drive the remaining distance to reach office exactly on time, is
By walking at 5/6 of usual speed Tejswi reaches her office 15 minutes late than her usual time. What is the usual time taken by her to reach office?
Rehana leaves her home early in the morning so that she can reach her office on time. If she walks at the rate of 7 km/hr, then she reaches her office 8 minutes late. But, if she walks at a speed of 8 km/hr, then she reaches her office 4 minutes early. What is the distance in km between Rehana's house and her office?
Raju travels at half of his usual speed and reaches his office 24 minutes late than his usual time. If Raju travels at his usual speed, then what will be the time taken by him to reach his office?
Rohan, Shikha's boyfriend, had to pick her from her home for a live concert on her 23rd birthday. The venue of the concert and Shikha's home were in opposite directions from Rohan's office. He got late because of some work at office and realised that if he goes to pick Shikha from her home, which was a 48-minute drive from his office, they would be late for the show by 16 minutes. He asked her to start from her home towards his office in an auto-rickshaw and himself started driving towards her home. Both of them started simultaneously, he picked her as soon as they met and they managed to reach the venue just in time for the concert. If Rohan drives at an average speed of 60 km/hr, find the speed (in km/hr) of the auto-rickshaw.
Rehana leaves her home early in the morning so that she can reach her office on time. If she walks at the rate of 7 km/hr then she reaches her office 8 minutes late. But, if she walks at a speed of 8 km/hr, then she reaches her 4 minutes early. What is the distance in km between Rehana's house and her office?
Karan always reaches his office 30 minutes after the office starting time. When he increased his car speed by 20%, he arrived at the office starting time. But when he increased his car speed by 10 km/h he failed to reach the office on time and only arrived at the office 15 minute after the starting time. What could be the usual car speed?
Each of the question below consists of a question and three statements number I, II and III given below it. You have to decide whether the data provided in the statement are sufficient to answer the question. If the bus is travelling from Surat to Ahmadabad and a car is travelling from Ahmadabad to Surat, then what is the distance between Surat and Ahmadabad? I. The speed of a car is 40% less than the speed of bus. Bus started at 9 am and car started at 10 am and they meet at 3 pm of the same day. II. After travelling for 1 hour, because of traffic average speed of bus is decreased by 20% and covers distance between Surat to Ahmadabad in 11 hours. Original speed of car is 20% less than original speed of bus and before crossing bus it covered 200 km if starts 1 hour later than bus. After crossing car, bus covers remaining distance in 5 hours. III. Speed of bus is 10 km/hr more than the speed of car and before crossing car ratio of distances covered bus and car in same time was 5 : 4. Time taken by car to cover the distance between Ahmadabad and Surat is 2 hours 15 minutes more than time taken by bus to cover the same distance.
If a person goes from his house to office walking at 80% of his usual speed, then he is late by 18 minutes to reach the office. What is the usual time taken by him to cover that same distance with his usual speed?