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Speed, Time and Distance - Quant/Math - CAT 2009
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 |
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(2) |
2 hours |
| (3) |
3 hours |
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(4) |
2 hours 24 minutes |
Correct Answer - (3)
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.
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