Time, Speed & Distance Notes For UGC NET 2024
Speed = Distance/ Time
Time = Distance/Speed
Distance = (Speed x Time)
km/hr to m/sec conversion : x km/hr = x X 5/18 m/sec .
m/sec to km/hr conversion : x m/sec = x X 18/5 km/hr
Suppose a woman covers a certain distance at x km/hr and an equal distance at y km/hr.
Then, the average speed during the whole journey is = 2xy/x + y km/hr.
1 A bus crosses a 500 m long street in 10 minutes. Find out the speed in km per hour ?
solution :-
Total distance = 500 m , total time 10 min
first we have need to convert in same unit of both distance ,and time
so Total distance = 500 m , and convert time 10 min in sec
so we will multiply 10 min * 60 = 600 sec
Speed = Distance/ Time
Speed = 500 m / 600 sec
Speed = 0.833 m/sec
now need to convert Speed = 0.833 m/sec into km/hr
m/sec to km/hr conversion : x m/sec = x X 18/5 km/hr
0.833 m/sec into km/hr = 0.833 *18/5 km/hr
his speed in km per hour = 3 km/ hr
2. A train covers a certain distance at a speed of 240 km/hr in 5 hours. To complete the same distance in 2 hours, Find out the speed
solution :-
Total distance covered by train is = (Speed x Time)
Total distance covered by train is = 240 km/hr * 5 hr
Total distance covered by train is = 1200 km
now same distance need to cover in 2 hr. so speed would be 1200 km / hr divided by 2
so speed would be 600 km / hr.
3. If a caw walks at 14 km/hr instead of 10 km/hr. he would have walked 20 km more. Find out the Distance
solution :-
difference of speed is 14 km/hr – 10 km/hr = 4 km/hr
Extra distance = 20 km
so , Time = Distance/Speed
Time = 20 km / 4 km /hr.
Time = 5 hr.
actual distance travelled = (Speed x Time)
actual distance travelled = 10 km/hr * 5 hr.
actual distance travelled = 50 km
Important Time & Distance Question for ugc net preparation and Put the answer on comment.
1. Saurabh complete a journey in 10 hours. He travels 50% of the journey at the rate of 10 km/hr. and rest journey at the rate of 15 km/hr. Find the total journey in km.
2. The ratio between the speeds of two trains is 3 : 5. If the second train runs 500 km in 5 hours, then what is the speed of the first train.
3. A cow on tour travels first 320 km at 32 km/hr. and the next 320 km at 40 km/hr. what is the average speed of the tour.
4. In covering a distance of 30 km, Saurabh takes 2 hours more than Sonu. If Saurabh doubles his speed, then he would take 1 hour less than Sonu. Saurabh’s speed is
5. Saurabh is travelling on his cycle and has calculated to reach point A at 3 P.M. if he travels at 15 km/ph, he will reach there at 12 noon if he travels at 20 km/ph. what speed he has required to travel to reach A at 1 P.M
6. It takes eight hours for a 500 km journey, if 120 km is done by car and the rest by motor cycle . It takes 20 minutes more, if 150 km is done by car and the rest by motor cycle . The ratio of the speed of the car to that of the motor cycle is
7. A woman travelled a distance of 61 km in 9 hours. He travelled partly on foot @ 4 km/hr. and partly on motor cycle @ 9 km/hr. The distance travelled on foot is