A worker reaches his factory 15 minutes late if he walks at 4 km/h, and 10 minutes early if he walks at 6 km/h. Find the distance to his factory. MCQ with Answer and Explanation
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Question #1
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A car travels a distance of 300 km at a certain speed. If the speed is increased by 10 km/h, it takes 5 hours for the journey. Find the original speed.
Correct Answer: Option D
Explanation:
New speed = 300 / 5 = 60 km/h. Since new speed is original speed + 10 km/h, the original speed = 60 - 10 = 50 km/h.
New speed = 300 / 5 = 60 km/h. Since new speed is original speed + 10 km/h, the original speed = 60 - 10 = 50 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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The speeds of two running trains are in the ratio 7 : 9. Moving along parallel tracks in opposite directions, they take 4 seconds each to cross a telegraph post. Find the time taken by them to cross each other completely.
Correct Answer: Option D
Explanation:
Let the speeds be 7x and 9x. Length of first train = 7x * 4 = 28x. Length of second train = 9x * 4 = 36x. Total distance to cross each other = 28x + 36x = 64x. Relative speed in opposite directions = 7x + 9x = 16x. Time taken = 64x / 16x = 4 seconds.
Let the speeds be 7x and 9x. Length of first train = 7x * 4 = 28x. Length of second train = 9x * 4 = 36x. Total distance to cross each other = 28x + 36x = 64x. Relative speed in opposite directions = 7x + 9x = 16x. Time taken = 64x / 16x = 4 seconds.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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A runner tracks a circular field loop course of radius 70 meters. If his speed registers at 20 m/s, find the total loop rounds completed by him in 2 minutes 12 seconds.
Correct Answer: Option C
Explanation:
Circumference = 2 * (22/7) * 70 = 440 meters. Time = 2 minutes 12 seconds = 132 seconds. Total distance wrapped = Speed * Time = 20 * 132 = 2640 meters. Number of loop rounds completed = 2640 / 440 = 6 rounds.
Circumference = 2 * (22/7) * 70 = 440 meters. Time = 2 minutes 12 seconds = 132 seconds. Total distance wrapped = Speed * Time = 20 * 132 = 2640 meters. Number of loop rounds completed = 2640 / 440 = 6 rounds.
This question belongs to:
Maths
Time Speed and Distance
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