Time and Distance questions Set 1(Hard)

1.A man goes to the fair with his and dog. Unfortunately man misses his son which he realizes 20 minutes later. The son comes back towards his home at the speed of 20 m/min and man follows him at 40 m/min. The dog runs to son and comes back to the man to show him the direction of his son. He keeps moving to and fro at 60 m/min between son and father, till the man meets the son. What is the distance traveled by the dog in the direction of the son?

A. 800 m
B. 1675 m
C. 848 m
D. 1000 m
E. None of these


2.Due to the technical snag in the signal system two trains start approaching each other on the same track from two different stations, 240 km away each other. When the train starts a bird also starts moving to and fro between the two trains at 60 kmph touching each train each time. The bird initially sitting on the top of the engine of one of the trains and it moves so till these trains collide. If these trains collide one and half hour after start, then how many kilometers bird travels till the time of collision of trains?

A. 90 km
B. 130 km
C. 120km
D. 95 km
E. None of these



3.A train met with an accident 60 km away from Anantpur station. It completed the remaining journey at 5/6 th of the previous speed and reached Barmula station 1 hour 12 in late. Had acciden taken place 60 km further , it would have been only 1 hour late .A.) What is the normal speed of train?B.) What is the distance between Anantpur and Barmula?

A. 60 km/hr, 420km
B. 80km/hr, 800km
C. 8km/hr, 80km
D. None of these


4.An individual is cycling at a speed of 25 km per hour. He catches his predecessor who had started earlier in two hours. What is the speed of his predecessor who had started 3 hours earlier ?

A. 15 kmph
B. 12 kmph
C. 10 kmph
D. 8 kmph

5.A racetrack is in the form of a right triangle. The longer of the legs of track is 2 km more than the shorter of the legs (both these legs being on a highway). The start and end points are also connected to each other through a side road. The escort vehicle for the race took the side road and rode with a speed of 30 km/h and then covered the two intervals along the highway during the same time with a speed of 42 km/h. find the length of the race track.

A. 14 km
B. 10 km
C. 24 km
D. 36 km
E. 30 km



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