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Speed, Time and Distance - Quant/Math - CAT 2009
Question 4 the day:
October 07, 2003
The question for the day is from the topic of Speed, Time and Distance.
- 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 - (4)
Solution:
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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