Two locomotive train units 140 meters and 110 meters long are running along parallel track loops in identical directions at speeds of 52 km/h and 42 km/h respectively. In what timeframe will the faster train clear the slower train completely? MCQ with Answer and Explanation
Two locomotive train units 140 meters and 110 meters long are running along parallel track loops in identical directions at speeds of 52 km/h and 42 km/h respectively. In what timeframe will the faster train clear the slower train completely?
A. 90 seconds
B. 80 seconds
C. 100 seconds
D. 110 seconds
Answer: Option A
Solution (By JKExamLibrary)
Total path distance = 140 + 110 = 250 meters. Relative speed index in same direction = 52 - 42 = 10 km/h = 10 * (5/18) = 25/9 m/s. Time required = 250 / (25/9) = 250 * 9 / 25 = 10 * 9 = 90 seconds.
A man covers 3/5 of his total journey by rail at 40 km/h and the remaining 2/5 by bus at 30 km/h. If the total distance is 150 km, what is the total time taken?
Explanation:
Distance by rail = 150 * (3/5) = 90 km. Time by rail = 90 / 40 = 2.25 hours. Distance by bus = 150 - 90 = 60 km. Time by bus = 60 / 30 = 2 hours. Total time = 2.25 + 2 = 4.25 hours.
A student walks from his quarter block to the academy center at 4 km/h and arrives 8 minutes late. If he manages a pace of 5 km/h, he arrives 4 minutes early. Find the track distance.
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