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You are here: Home CAT Questions Speed Time Average Speed of travel

Speed, Time, Distance : CAT 2016 Quant Preparation

Question 4 the day : October 07, 2003
The question for the day is from the topic Speed, Time and Distance.

Question
Ram covers a part of the journey at 20 kmph and the balance at 70 kmph taking total of 8 hours to cover the distance of 400 km. How many hours has been driving at 20 kmph?
  1. 2 hours
  2. 3 hours 20 minutes
  3. 4 hours 40 minutes
  4. 3 hours 12 minutes
Correct Answer is 3 hours 12 minutes . Choice (4) is right.

Explanatory Answer

Let x be the number of hours he travels at 20 kmph.
Distance covered in this x hours = 20x km
He would have therefore, traveled the balance (8 - x) hours at 70 kmph.

Distance covered in this (8 - x) hours = (8 - x) * 70 = (560 - 70x) km
The total distance traveled = 20x + 560 - 70x = 400
=>160 = 50 x
=>x = (160/50) hours = 3.2 hours = 3 hours and 12 minutes


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