A motor car finishes a journey in 10 hours. The first half is covered at 42 km/h and the second half at 48 km/h. Find the total distance of the journey. MCQ with Answer and Explanation
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Question #1
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The speed index tracking profile of an express locomotive is exactly 20% higher than a commercial car. Both take off from terminal M together and reach terminal N, 120 km away, at the same instant. On the corridor route, the train logs a total stall of 10 minutes at intermediate stations. Find the car speed.
Correct Answer: Option B
Explanation:
Let car speed be c, then train tracking speed is 1.2c. Time difference parameter = 120/c - 120/(1.2c) = 10/60 hours = 1/6 hours. 120/c * (1 - 1/1.2) = 1/6 => 120/c * (0.2/1.2) = 1/6 => 120/c * (1/6) = 1/6 => c = 120 km/h.
Let car speed be c, then train tracking speed is 1.2c. Time difference parameter = 120/c - 120/(1.2c) = 10/60 hours = 1/6 hours. 120/c * (1 - 1/1.2) = 1/6 => 120/c * (0.2/1.2) = 1/6 => 120/c * (1/6) = 1/6 => c = 120 km/h.
This question belongs to:
Maths
Time Speed and Distance
Question #2
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A thief is spotted by a policeman from a distance of 200 meters. The thief runs at 10 km/h and the policeman chases him at 12 km/h. Find the distance covered by the thief before he is caught.
Correct Answer: Option A
Explanation:
Relative speed = 12 - 10 = 2 km/h. Time to catch the thief = 0.2 km / 2 km/h = 0.1 hours. Distance covered by thief = Speed * Time = 10 km/h * 0.1 hours = 1 km = 1000 meters.
Relative speed = 12 - 10 = 2 km/h. Time to catch the thief = 0.2 km / 2 km/h = 0.1 hours. Distance covered by thief = Speed * Time = 10 km/h * 0.1 hours = 1 km = 1000 meters.
This question belongs to:
Maths
Time Speed and Distance
Question #3
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In a 1000-meter race, sprinter A beats sprinter B by 100 meters, and sprinter B beats sprinter C by 50 meters. By how many meters does X beat Z in the same race? (Assume consistent speeds)
Correct Answer: Option A
Explanation:
When A covers 1000m, B covers 900m. When B covers 1000m, C covers 950m. When B covers 900m, C covers 950 * (900/1000) = 855m. Therefore, A beats C by 1000 - 855 = 145 meters.
When A covers 1000m, B covers 900m. When B covers 1000m, C covers 950m. When B covers 900m, C covers 950 * (900/1000) = 855m. Therefore, A beats C by 1000 - 855 = 145 meters.
This question belongs to:
Maths
Time Speed and Distance
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