1.A train of 320 m cross a platform in 24 seconds at the speed of 120 km/h. while a man cross same platform in 4 minute. What is the speed of man in m/s?
(a) 2.4
(b) 1.5
(c) 1.6
(d) 2.0
2.A car travel 1st 39 km distance in 45 km minute while nest 25 km distance in 35 minutes. What is its average speed?
(a) 45 Km/h
(b) 35 Km/h
(c) 48 Km/h
(d) 90 Km/h
3.A car starts with the speed of 70 km/h with its speed increasing every two hours by 10 km/h. In how many hours will it cover 345 km?
(a) 9/4 hours
(b) 4 hours 5 minute
(c) 9/2 hours
(d) Cannot be determined
4. Aditya rides a cycle at the speed of 15 km/h but stops for 10 minute to take rest every 20 kms. How much time will he take to cover a distance of 150 kms?
(a) 11 hours 10 minutes
(b) 11 hours
(c) 12 hours 30 minutes
(d) 15 hours
5.A train 120 m in length passes a pole in 4 second and another train of length 225 m travelling in the same direction in 15 second. Find the speed of second train?
(a) 8 m/s
(b) 7 m/s
(c) 12 m/s
(d) 22 m/s
6.The ratio between the speed of bike and train is 15 : 27 respectively. Also a bus cover a distance of 720 km in 9 hours. The speed of the bike is 3/4th the speed of bus how much distance will the train cover in 7 hours?
(a) 756 km
(b) 760 km
(c) 740 km
(d) Cannot be determined
7.A 280 m long train moving with an average speed of 108 km/h cross a platform in 12 second. A boy crosses the same platform in 10 second. What is the speed of boy in m/s?
(a) 5 m/s
(b) 8 m/s
(c) 10 m/s
(d) Cannot be determined
8.A car covers a distance of 210 km in a certain amount of time at the speed of 35 km/h. What is the average speed of a truck that travel distance of 18 km less than the car in the same time?
(a) 64 km/h
(b) 66 km/h
(c) 65 km/h
(d) None of these
9.A truck cover 224 km in 4 hours the average speed of a bike is 1/4th the average speed of the truck how much distance will the bike cover in seven hour?
(a) 96 km
(b) 98 km
(c) 95 km
(d) 92 km
10.A bus started its journey from Bettiah and reached Motihari in 44 minute with its average speed 50 km/h if the average speed of bus is increased by 5 km/h. If the average speed of bus is increased by 5 km/h how much time will it take to cover the same distance?
(a) 31 min
(b) 36 min
(c) 38 min
(d) 40 min
Answers and Solution:
1.(d) Speed of train = 120*5/18=100/3 m/s
(320 + x) = 24 x 100/3
320 + x = 800
∴x = 480
So platform length = 480
So, speed of man = 480/(4*60 = 2 m/s
2.(c)Total distance = 39 + 25 = 64 km
Time taken = 45 + 35 = 80 minutes = 4/3 hours
So, average speed = 64/(4/3) = 48 km/h
3.(c)1st 2 hours =70 x 2 = 140
Next 2 hours = 80 x 2 = 160
After 4 hour total distance cover = 300
So next 45 km with speed of 90 km/h is 45/90=1/2 hour
So, total time taken = 4 1/2 hour
4.(a) For 150 km he take 150/15 = 10 hour
For 150 km he stop = 150/20=(7x10) = 70 minute
So total time taken = 11 hours 10 minutes
5.(b)Speed of train = 120/4 = 30 m/s
Total distance = 225 + 120 = 345 m
Relative speed = 345/15 = 23 m/s
But the speed of 1st train is 30 m/s.
So, speed of 2nd train = 30 – 23 = 7 m/s
6.(a)Speed of bike = 720/9*3/4 = 60 km/h
Speed of train = 60/15*27 = 108 km/h
So, train cover = 108 x 7 = 756 km
7.(b)Speed = 108 x 5/18 = 30 m/s
Length of platform = 30 x 12 – 280 = 80 m
Speed of boy = 80/10 = 8 m/s
8.(d)Time = 210/35 = 6 hours
Speed of truck = (210-18)/6 = 32 km/h
9.(b) 224/4*1/4*7 = 98 km
10.(d) (44*50)/(50+5)= 40 min.
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