Speed Time & Distance Question Answers

Speed, Time and Distance - Quant/Math - CAT 2008

Question 4 the day: June 5, 2003

The question for the day is from the topic of Speed, Time and Distance.

I travel the first part of my journey at 40 kmph and the second part at 60 kmph and cover the total distance of 240 km to my destination in 5 hours. How long did the first part of my journey last?

(1)	4 hours			(2)	2 hours
(3)	3 hours			(4)	2 hours 24 minutes

Correct Answer - (3)

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Solution:


The total time of journey = 5 hours.


Let 'x' hours be the time that I traveled at 40 kmph

Therefore, 5 � x hours would be time that I traveled at 60 kmph.


Hence, I would have covered x*40 + (5-x)60 kms in the 5 hours = 240 kms.


Solving, for x in the equation 40x + (5 � x)*60 = 240, we get

40x + 300 � 60x = 240

=> 20x = 60 or x = 3 hours.