Dear maths lovers, Let your practice begins in minuteness but ends in magnificence.It is impossible to study maths properly by just reading and listening. So, practise, practise & more practise. For that, we are providing here Quant Quiz of 15 Questions on Time Speed and Distance in accordance with the syllabus of SSC CGL.We have also provided Study Notes and quizzes on all the topics.
Q1. A man cycles with a speed of 10 km/h and reaches his office at 1 pm. However, when he cycles with a speed of 15 km/h, he reaches his office at 11 am. At what speed should he cycle so that he reaches his office at 12 noon?
(a) 20 km/hr
(b) 16 km/hr
(c) 12 km/hr
(d) 14 km/hr
Q2. Siddharth goes by bike to pick up his girlfriend every day from college and then drops her at her house. College timings are till 5 pm daily, but today the college was till 4 pm. His girlfriend, not finding Siddharth, at the college gate, starts walking towards her house. Siddharth, unaware of this fact, leaves his house as usual, meets his girlfriend on way, picks her up and drops her at her house. At night, Siddharth realizes that he had saved 40 minutes that day. What is the ratio of the speed of Siddharth to that of his girlfriend? (Both of them live in the same building)
Q3. The Distance between two points AB = 110 km. Manoj starts running from A at a speed of 60 km/h and Ravi starts running from B at a speed of 40 km/h at the same time. They meet at a point X, somewhere on the line AB. What is the ratio of AX to BX?
(a) 3: 2
(b) 1: 2
(c) 4: 3
(d) 6: 1
Q4. The speed of the boat in still water is 6 km/h and the speed of the river is 1.2 km/h. The boat takes a total of 10 h to go to a place and come back. What is the total distance covered in the whole process?
(a) 52.3 km
(b) 48.4 km
(c) 55.6 km
(d) 57.6 km
Q5. In a race of 100 m, A gives a start of 10 m to B. Despite this, A wins the race by 20 m. What is the ratio of the speed of A and B?
(a) 10: 7
(b) 8: 2
(c) 5: 3
(d) 6: 4
Q6. There are two persons A and B with a speed of 20 m/s and 10 m/s respectively, and length of the circular track is 1000 m. When will they meet for the first time anywhere on the track if they are running in opposite direction?
(a) 36.32 seconds
(b) 33.33 seconds
(c) 44. 23 seconds
(d) 38.36 seconds
Q7. In the above Question, When will they meet for the first time at the starting point?
(a) 120 seconds
(b) 130 seconds
(c) 140 seconds
(d) 100 seconds
Q8. A train takes 10 s to cross a pole and 20 s to cross a platform of length 200 m. What is the length of the train?
(a) 200 m
(b) 220 m
(c) 340 m
(d) 420 m
Q9. The speed of a train is 36 km/h. It takes 25 s to cross a pole. What is the length of this train?
(a) 210 m
(b) 260 m
(c) 250 m
(d) 350 m
Q10. The length of the train is 200m and the time it takes to cross a telephone pole is 10 s. The speed of the train is?
(a) 20 m/s
(b) 15 m/s
(c) 10 m/s
(d) 22 m/s
Q11. A car travels from Patna to Gaya at a speed of 65 km/h in one hour. If the speed is reduced by 15 km/h then, how much more time will the car take to cover the same distance?
(a) 12 minutes
(b) 16 minutes
(c) 18 minutes
(d) 44 minutes
Q13. When the speed of a train is increased by 20%, it takes 20 minutes less to cover the same distance. What is the time taken to cover the same distance with the actual speed?
(a) 2 h
(b) 1 h
(c) 1.5 h
(d) 2.5 h
Q14. A train of length 200 m crosses a pole in 15 s and crosses a platform in 60 s. What is the length of the platform?
(a) 450 m
(b) 600 m
(c) 800 m
(d) None of these
Q15. Shramjeevi express goes to Patna from New Delhi at a speed of 60 km/h. At what speed (in km/h) should Shramjeevi express return from Patna to New Delhi so that the average speed during the whole journey is 120 km/h?
(d) This is not possible
Sol. Since both Manoj and Ravi are running for the same time, T is constant. Hence, the ratio of the distance covered by them will be the same as the ratio of their speed.
So, AX/BX = Speed of Manoj /Speed of Ravi = 60/40 = 3: 2
Sol. Time taken by A to cover 70 m = Time taken by B to cover 100 m
Since the distance is constant, the ratio of speed of A and B = 10: 7
Sol. Since they are running in the opposite direction, relative speed = 10 + 20 = 30 m/s
So, time taken = distance/relative speed = 1000/30 = 33.33 seconds
Sol. The train takes 10 s to cross its own length and 20 s to cross its own length and length of the platform. So, it is inferred that the train takes 10 s to cross the platform and 10 s to cross its own length.
Since the time taken to cross the platform = time taken to cross its own length
So, length of the platform = length of the train = 200 m
Sol. Speed of train =(36 × 5/18) = 10 m/s
Distance covered = 10 × 25 = 250 m
So, length of train = 250 m