Question 68

Logical Reasoning Clocks Easy

It was 9.35 AM in Garvita's watch, which kept correct time, when Manya informed her that the last bus left the bus stop at 9.25 am. Manya's watch is 5 min fast. The frequency of the bus is every 20 min. For how long Garvita must wait to catch the next bus? 

(A) 5 min
(B) 10 min
(C) 15 min
(D) 20 min
View Dynamic Solution & Explanation
Correct Solution: Option A

Step-by-step Solution:

Step-by-Step Time Calculation

To find out how long Garvita must wait, we need to determine three key pieces of information: the correct current time, the actual time the last bus departed, and the scheduled time for the next bus.

1. Determine the Correct Current Time

  • The problem states that Garvita's watch shows 9:35 AM and it keeps the correct time.
  • Therefore, the correct current time is 9:35 AM.

2. Determine the Actual Departure Time of the Last Bus

  • Manya's watch showed the last bus left at 9:25 AM.
  • However, Manya's watch is 5 minutes fast. This means the actual time was 5 minutes earlier than what her watch showed.
  • Actual Departure Time = 9:25 AM - 5 minutes = 9:20 AM.

3. Determine the Next Bus's Departure Time

  • The bus runs with a frequency of every 20 minutes.
  • Since the last bus left at the correct time of 9:20 AM, the next bus will depart 20 minutes after that.
  • Next Bus Departure Time = 9:20 AM + 20 minutes = 9:40 AM.

4. Calculate the Waiting Time

The waiting time is the difference between the next bus's departure time and the current correct time.

Waiting Time = 9:40 AM - 9:35 AM

Waiting Time = 5 minutes

Conclusion

Garvita must wait for 5 minutes to catch the next bus.