A commercial truck handles a sector distance path of 480 km in 8 hours. How much time will it require to cover a path length of 300 km if it moves at the same speed? MCQ with Answer and Explanation
A commercial truck handles a sector distance path of 480 km in 8 hours. How much time will it require to cover a path length of 300 km if it moves at the same speed?
A. 4.5 hours
B. 5.0 hours
C. 6.0 hours
D. 5.5 hours
Answer: Option B
Solution (By JKExamLibrary)
Speed of truck = 480 / 8 = 60 km/h. Time required for 300 km path = 300 / 60 = 5 hours.
A car covered a distance of 300 km at a uniform speed. If the baseline speed is lowered by 10 km/h, the trip duration spikes by 1 hour. Find the original speed.
Explanation:
Let original speed be s. 300 / (s - 10) - 300 / s = 1 => 300(10) = s(s - 10) => 3000 = s(s - 10). Solving s^2 - 10s - 3000 = 0 yields (s - 60)(s + 50) = 0. Since speed must be positive, s = 60 km/h.
Explanation:
Total distance = 360 + 240 = 600 km. Time for first part = 360 / 45 = 8 hours. Time for second part = 240 / 60 = 4 hours. Total time = 8 + 4 = 12 hours. Average speed = 600 / 12 = 50 km/h.
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