BTGmoderatorDC wrote:A car overtakes a goods train, which is 400 m long and running at 36 kph, in 8 secs. The same car crosses another goods train, which is running from opposite direction at 54 kph, in 4 secs. How long the faster train will take to cross the slower train?
A. 28 seconds
B. 2 minutes
C. 2 minutes 20 seconds
D. 3 minutes 20 seconds
E. 3 minutes 40 seconds
OA A
Source: e-GMAT
First, we can let r = the speed of the car (in kph) and create the equation:
8/3600 x r = 8/3600 x 36 + 400/1000
r/450 = 2/25 + 2/5
Multiplying the equation by 450, we have:
r = 36 + 180
r = 216
Next, we can let n = the length of the faster train (in meters) and create the equation:
4/3600 x 216 + 4/3600 x 54 = n/1000
6/25 + 3/50 = n/1000
Multiplying the equation by 1000, we have:
240 + 60 = n
n = 300
Finally, we can let t = the number of hours it takes the faster train to cross the slower train, and we can create the equation:
36t + 54t = 400/1000 + 300/1000
90t = 7/10
t = 7/900 hr = 28 seconds
Answer: A
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