A delivery coach covers a highway stretch at 40 km/h. If the driver spikes the speed index to 60 km/h, the coach lands at the station terminal 15 minutes early. Find the track sector distance. MCQ with Answer and Explanation
A delivery coach covers a highway stretch at 40 km/h. If the driver spikes the speed index to 60 km/h, the coach lands at the station terminal 15 minutes early. Find the track sector distance.
A. 34 km
B. 36 km
C. 30 km
D. 26 km
Answer: Option C
Solution (By JKSSB Mock Tests)
Time difference = 15 minutes = 15/60 = 1/4 hours. Let distance be d. d / 40 - d / 60 = 1/4 => (3d - 2d) / 120 = 1/4 => d / 120 = 1/4 => d = 30 km.
A man can walk a distance in 4 hours and ride back in 3 hours. If he walks both ways, he takes 8 hours. How much time will he take if he rides both ways?
Explanation:
Let walking time one way be W and riding time one way be R. W + R = 7 hours. Walking both ways: 2W = 8 => W = 4 hours. Substituting W in first equation: 4 + R = 7 => R = 3 hours. Riding both ways: 2R = 2 * 3 = 6 hours.
Two cars A and B leave an intersection simultaneously at right angles. A travels North at 60 km/h and B travels East at 80 km/h. Find the direct distance between them after 30 minutes.
Explanation:
Time = 30 minutes = 0.5 hours. Distance covered by A = 60 * 0.5 = 30 km. Distance covered by B = 80 * 0.5 = 40 km. Distance between them = sqrt(30^2 + 40^2) = sqrt(900 + 1600) = sqrt(2500) = 50 km.
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