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Bunuel
Two trains are traveling on a collision course. If train A is traveling at a speed of 350 mph and train B is traveling 28% slower, how much time will it take the trains to collide if the initial distance between the two is 1505 miles?

A. Two hours and 30 minutes.
B. One hour and 10 minutes.
C. Two hours and 25 minutes.
D. Three hours and 15 minutes.
E. Four hours and 20 minutes.

Speed of second train= 350*72/100= 252

Time= Total distance/ total speed
1505/ 350+252

1505/602= 2.____

C is the answer
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Hi Bunuel , I came up with option C = 1505 /602 . This is tough calculation and I used approximation and came up with little less than 2.5 hours which seems incorrect. How would you solve this?
Thanks
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rakaisraka
Hi Bunuel , I came up with option C = 1505 /602 . This is tough calculation and I used approximation and came up with little less than 2.5 hours which seems incorrect. How would you solve this?
Thanks

You did everything correct but notice that 2.5 hours = 2 hours and 30 minutes. BTW 1505/602 = 2.5 exactly.
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Bunuel
Two trains are traveling on a collision course. If train A is traveling at a speed of 350 mph and train B is traveling 28% slower, how much time will it take the trains to collide if the initial distance between the two is 1505 miles?

A. Two hours and 30 minutes.
B. One hour and 10 minutes.
C. Two hours and 25 minutes.
D. Three hours and 15 minutes.
E. Four hours and 20 minutes.

Since train A is traveling at a rate of 350 mph, train B is traveling at a rate of 0.72 x 350 = 252 mph.

If we let t = the time for both trains until they meet, we can create the equation:

350t + 252t = 1505

602t = 1505

t = 2.5 hours

Answer: A
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Bunuel May I ask, why answers choices not arranged in ascending order?
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