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A train has to cover a distance of 90 km in 15 hours. If it covers half the journey in 4/5th of the time, the speed to cover remaining distance in the time left has to be
- a)10 km/hr
- b)20 km/hr
- c)8 km/hr
- d)15 km/hr
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
A train has to cover a distance of 90 km in 15 hours. If it covers hal...
GIVEN:
Total Distance = 90 km
Total Time = 15 hours
FORMULA USED:
Speed = Distance/Time
CALCULATION:
4/5th of the time = 15 × 4/5 = 12 hours
Now, remaining distance = 90 - 45 = 45 km
Remaining time = 15 - 12 = 3 hours
Average speed to cover the distance of 45 km will be 45/3 = 15 km/hr.
Most Upvoted Answer
A train has to cover a distance of 90 km in 15 hours. If it covers hal...
Understanding the Problem:
The train has to cover a total distance of 90 km in 15 hours. It covers half the journey in 4/5th of the time, which means it covers 45 km in 12 hours.
Calculating the remaining distance and time:
The remaining distance to cover is 90 km - 45 km = 45 km. The time left to cover this distance is 15 hours - 12 hours = 3 hours.
Calculating the speed required:
To cover the remaining 45 km in 3 hours, we need to find the speed. Speed = Distance/Time. So, Speed = 45 km / 3 hours = 15 km/hr.
Therefore, the speed to cover the remaining distance in the time left has to be 15 km/hr, which corresponds to option 'D'.
The train has to cover a total distance of 90 km in 15 hours. It covers half the journey in 4/5th of the time, which means it covers 45 km in 12 hours.
Calculating the remaining distance and time:
The remaining distance to cover is 90 km - 45 km = 45 km. The time left to cover this distance is 15 hours - 12 hours = 3 hours.
Calculating the speed required:
To cover the remaining 45 km in 3 hours, we need to find the speed. Speed = Distance/Time. So, Speed = 45 km / 3 hours = 15 km/hr.
Therefore, the speed to cover the remaining distance in the time left has to be 15 km/hr, which corresponds to option 'D'.
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