Time, Work & Speed
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Q1.Two trains are 300 km apart and are moving towards each other. one train is traveling at a speed of 90 km /h and the other at 60 km /h. after how much time will they meet?
Correct Answer: B
Combined speed is 150 km/h; time to meet = 300/150 = 2 hours.
Q2.Distance 3000 Km, Two trains apart, One speed is 90 km /hr and other is 60 km /hr. How much time they take to meet?
Correct Answer: C
Combined speed is 150 km/h; time to meet = 3000/150 = 20 hours.
Q3.Distance b/w two cities is 30km.A car travelled a distance in 50min.find the speed of car km/h
Correct Answer: B
Speed = Distance/Time = 30km / (50/60)h = 30 × 60/50 = 36 km/h.
Q4.A high speed train travels at a speed of 200 km/hr. If the train sets off from station A at 12:24 and reaches station B at 14:12, find the distance between the two stations.
Correct Answer: A
Time taken = 1 hour 48 minutes = 1.8 hours; distance = 200 x 1.8 = 360 km.
Q5.If 30 workers make 3000 units in 20 days working 8 hours a day, then 32 workers will produce 2000 units, working 10 hours a day, in how many days?
Correct Answer: B
Using the work-rate proportion method, the required number of days comes out to 10.
Q6.If 5 men complete the work in 6 days, then in how many days 6 men can complete the same work?
Correct Answer: B
Q7.Several number of cows on a farm consume the food in 150 days. If we reduce the number of cows by 10, then the food lasts for 160 days. How many cows were there on the farm in the beginning?
Correct Answer: B
Using inverse proportion (cows x days = constant): if x cows eat in 150 days, (x-10) cows eat in 160 days. Solving x(150) = (x-10)(160) gives x = 160.
Q8.A train of length 99m takes 11 seconds to pass completely through a station of length 231m. What is the speed of the train in km/h?
Correct Answer: A
Total distance covered = 99 + 231 = 330m in 11 seconds = 30 m/s = 30 x 3.6 = 108 km/h.
Q9.Roni and Willy had a 100m race. Roni covered the distance in 45 secs and Willy covered the distance in 36 secs. Willy beats Roni by how much distance?
Correct Answer: A
In 36 seconds Willy finishes 100m; in that time Roni covers (36/45)x100 = 80m, so Willy beats Roni by 20m.
Q10.The forest workers plant 200 trees in one month (30 days). When 20 workers were sent away, 200 trees were planted in 40 days by this second group. How many workers were there in the first group?
Correct Answer: C
Using inverse work-rate proportion: workers x days is constant when trees planted are equal, solving gives 80 workers initially.
Q11.16 men and 12 women can complete a work in 20 days. 18 women can complete the same work in 40 days. In how many days will 12 men and 27 women complete the same work?
Correct Answer: A
Setting up work-rate equations from the given data and solving for 12 men and 27 women gives 16 days.
Q12.A car travel at the speed of 36 km per hour. What is the distance travelled by the car with in 20 seconds in meter?
Correct Answer: C
Q13.A car is moving with the speed of 120 km/h. How much distance does the car cover in 4 hours and 30 minutes?
Correct Answer: A
Q14.A cyclist covers a distance of 750 meters in 2 minutes and 30 seconds. What is his speed in km/hr?
Correct Answer: C
Q15.The speed of light is__________
Correct Answer: B
Q16.In a 100 m race, A covers the distance in 36 seconds and B in 45 seconds, in this A beats B by: 20 m 24 m
Correct Answer: A
Q17.A horse runs around a ground twice and covers a distance of 8 km one side of square ground is
Correct Answer: D
Q18.A train is 130 m long it travels at a speed of 45 km/hr ,It crosses a bridge in 30 seconds ,The Length of Bridge is
Correct Answer: A
Q19.A 130 meter long train travelling at a speed of 45 km/hour crosses a bridge in 30 seconds. What is the length of the bridge?
Correct Answer: B
Q20.What is the speed of a car that travels 700 Km in 3 hours and 30 minutes?
Correct Answer: D