The speed of a train is 20% more than the speed of a car. Both start from point A at the same time and reach point B, 120 km away, at the same time. On the way, however, the train lost about 10 minutes while stopping at the stations. What is the speed of the car? MCQ with Answer and Explanation
The speed of a train is 20% more than the speed of a car. Both start from point A at the same time and reach point B, 120 km away, at the same time. On the way, however, the train lost about 10 minutes while stopping at the stations. What is the speed of the car?
A. 80 km/h
B. 120 km/h
C. 140 km/h
D. 100 km/h
Answer: Option B
Solution (By JKSSB Mock Tests)
Let car speed be c, then train speed is 1.2c. Time difference = 120/c - 120/(1.2c) = 10/60 hour. 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.
A commuter departs from outpost A at 5:00 AM at 25 km/h. Another starts from A at 7:00 AM at 35 km/h tracking along the same direction corridor. At what distance away from A will they intercept?
Explanation:
By 7:00 AM, the first commuter tracks for 2 hours, covering 25 * 2 = 50 km. Relative speed index = 35 - 25 = 10 km/h. Time to intercept = 50 / 10 = 5 hours. Distance path from point A = Speed of second commuter * Intercept Time = 35 * 5 = 175 km.
The speeds of two cars are in the ratio 5 : 3. If they cover the same total distance, and the slower car takes 2.5 hours, how much time does the faster car take?
Explanation:
Ratio of speeds = 5:3, so ratio of times taken = 3:5. The slower car corresponds to 5 parts = 2.5 hours => 1 part = 0.5 hours. Time for the faster car = 3 parts = 3 * 0.5 = 1.5 hours.
No comments yet. Be the first to start the discussion!