Select the correct answerIf a train runs with the speed of 48 km/h, it reaches its destination late by 12 minutes. However, if its speed is 64 km/h it is late by 3 minutes only. The right time to cover its journey (in minutes) is?Options18242022
Question
Select the correct answerIf a train runs with the speed of 48 km/h, it reaches its destination late by 12 minutes. However, if its speed is 64 km/h it is late by 3 minutes only. The right time to cover its journey (in minutes) is?Options18242022
Solution
To solve this problem, we can use the concept of relative speed.
The difference in time of arrival between the two speeds is 12 - 3 = 9 minutes, which is equal to 9/60 = 0.15 hours.
The difference in speed between the two trains is 64 - 48 = 16 km/h.
We can use the formula Distance = Speed * Time to find the distance of the journey.
So, Distance = 16 km/h * 0.15 hours = 2.4 km.
Now, we can find the right time to cover this journey.
If we use the slower speed (48 km/h), the time would be Distance/Speed = 2.4 km / 48 km/h = 0.05 hours = 3 minutes.
But we know that at this speed, the train is late by 12 minutes.
So, the right time to cover the journey is 3 minutes (time at slower speed) + 12 minutes (late) = 15 minutes.
Therefore, none of the options given (18, 24, 20, 22) is correct. The right time to cover the journey is 15 minutes.
Similar Questions
If a train runs at 40 km/h, it reaches its destination late by 11 min, but if it runs at 50 km/h, it is late by 5 min only. The correct time for the train to complete its journey isA12 minB16 minC19 minD25 minSolutionThe correct option is C 19 minLet the correct time to complete the journey be x minutes.Distance covered in (x+11) min at 40 km/h.= Distance covered in (x+5) min at 50 km/h∴(x+11)60×40=(x+5)60×50⇒x=19minSuggest Corrections68SIMILAR QUESTIONSQ. Q40. If a train runs at 40 km/h, it reaches its destination late by 11 min, but if it runs at 50 km/h, it is late by 5 min only. The correct time for the train to complete its journey isQ. If a train runs at 40 km/hr, it reaches its destination late by 11 minutes, but if it runs at 50 km/hr, it is late by 5 minutes only. The correct time for the train to complete the journey isQ. If a train runs at 40 kmph it reaches its destination late by 11 minutes. But if it runs at 50 kmph it is late by 5 minutes only. Find the distance covered by the train.Q. Choose the correct answer from the alternatives given.If a train runs at 70 km/hr, it reaches its destination late by 12 minutes. But if it runs at 80 km/hr. it is late by 3 minutes. The correct lime to cover the journey isQ. If a train runs at 40 kmph, it reaches the destination 15 minutes late. But if the train runs at 50 kmph, it is late by 5 minutes. Find the distance covered by the train.View MoreRELATED VIDEOSSpeed-Distance-TimeQUANTITATIVE APTITUDEWatch in AppEXPLORE MOREMeeting PointOther Quantitative Aptitude
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