A commuter sets a pace of 4 km/h and reaches his branch office 10 minutes late. If he increases his pace to 6 km/h, he still reaches 2 minutes late. Find the distance. MCQ with Answer and Explanation
A commuter sets a pace of 4 km/h and reaches his branch office 10 minutes late. If he increases his pace to 6 km/h, he still reaches 2 minutes late. Find the distance.
A. 1.8 km
B. 1.6 km
C. 1.4 km
D. 2.0 km
Answer: Option B
Solution (By JKExamLibrary)
Time difference = 10 - 2 = 8 minutes = 8/60 = 2/15 hours. Let distance be d. d/4 - d/6 = 2/15 => d/12 = 2/15 => d = 24/15 = 1.6 km.
Explanation:
Let original speed be s. 240 / (s - 10) - 240 / s = 2 => 120 / (s - 10) - 120 / s = 1 => 1200 = s(s - 10). Solving s^2 - 10s - 1200 = 0 gives (s - 40)(s + 30) = 0. Since speed is positive, s = 40 km/h.
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