Latest CTS Aptitude Question SOLUTION: The difference between the time taken by two cars to travel a distance of 350 km is 2 hours 20 minutes. If the difference between their speeds is 5 km/hr., what is the speed of fas

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The difference between the time taken by two cars to travel a distance of 350 km is 2 hours 20 minutes. If the difference between their speeds is 5 km/hr., what is the speed of faster car in km/hr.?
a) 30
b) 35
c) 40
d) 45
e) 50

Asked In CTS ABHINAV PUSHPAM (8 years ago)

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raunak kumar jha  (8 years ago)

350/s-350/(s+5)=7/3
s=25,-30
we consider initial speed s,s+5
25,25+5=30

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suryacsr  (6 years ago)

Let Time taken by faster car = t
Time taken by slower car = t + (2 + 20/60) = t + (7/3)
Difference of speed = 5
350/t - (350/ (t + 7/3) = 5
350/t - 1150/(3t + 7) = 5
(1150t + 350 *7 - 1150t) /(t * (3t + 7)) = 5
5 * (3t^2 + 7t) = 350 *7
3t^2 + 7t = 490
3t^2 +7t - 490 = 0
3t^2 + 42t - 35t - 490 = 0
On solving, we get
t = - 14 and 35/3
But time cannot be negative, so we will take positive value.
Speed of the faster car,
= Distance traveled / time taken
= 350/(35/3) = 30 kmph.

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