Pavan sets to cover a distance of 12 km in 45 minutes. If he covers of the distance in of time, then
what is the speed in the remaining time?
Answers
Correct Question:
Q: A person sets to cover a distance of 12 km in 45 minutes. If he covers 3/4th of the distance in 2/3rd of time, then what is the speed in the remaining time?
Answer:
- The speed in the remaining time is 12 km/hr.
Step-by-step explanation:
Given that:
- Total distance = 12 km
- Total time = 45 minutes
To Find:
- If he covers 3/4th of the distance in 2/3rd of time, then what is the speed in the remaining time?
Finding the 3/4th of the distance:
- Total distance × 3/4
- 12 km × 3/4
- 9 km
- Remaining distance = 12 km - 9 km
- Remaining distance = 3 km
Finding the 2/3rd of time:
- Total time × 2/3
- 45 minutes × 2/3
- 30 minutes
- Remaining time = (45 - 30) minutes
- Remaining time = 15 minutes
Converting 15 minutes in hours:
- 60 minutes = 1 hour
- 1 minute = 1/60 hours
- 15 minutes = 15/60 = 0.25 hours
Now finding the speed in the remaining time:
Formula: Speed = Distance/Time
- Speed = (3 km) / (0.25 hours)
- Speed = 12 km/hour
Answer:
Appropriate Question :-
Pawan sets to cover a distance of 12 km in 45 minutes. If he covers 3/4th of the distance in 2/3rd of time, then what is the speed in the remaining time?
To Find :-
Speed of remaining time
Solution :-
At first he covers ¾ of 12
Therefore,
¾ × 12 = 9 km
Now,
Remaining distance = 12 - 9
=> 3 km
Now,
When he takes ⅔ of time
45 × ⅔
15 × 2
30 min
Remaining time = 45 - 30
=> 15 minutes
Now,
15 minutes = 15/60 = 3/12 = 1/4 = 0.25 hours
Speed = Distance/Time
Speed = 3/0.25
Speed = 12 hr