Home » GMAT » How long approximately after car C reached the middle, did car B reached it?
Three cars are starting to drive from three corners of a huge axi-cimetrical triangle towards the middle. Car A can travel at a speed of 110 miles per hour, car B can travel 10% less and car C can travel the average speed of the first two cars. If all cars leave at the same time and it took car A 30 minutes to get to the middle, how long approximately after car C reached the middle, did car B reached it?
A. About 15 minutes.
B. About 10 minutes.
C. About 5 minutes.
D. About 1.5 minutes.
E. They reached the middle at the same time.
Correct Answer: D
Explanation/Reference:
Explanation:
Start with the speeds of the cars:
Car A can travel at 110 mp/h.
Car B can travel at a speed of (110 x 0.9) 99 mp/h.
Car C can travel at a speed of (110 + 99)/2 = 104.5 mp/h. If it took car A 30 minutes, the length towards the middle of the triangle is 55 miles. Calculate how long it takes car B and car C travel 55 miles:
Car B It will take her (55/99) hours which is 33 minutes and a third. Car C It will take her (55/104.5) hours which is approximately 31.6 minutes.
Therefore the differences in the time will be approximately 1.5 minutes.
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