Q1. A boy is riding his bike at 32 km/hr. A train moving at 50 km/hr overtakes him in 80 sec. What is the length of the train?
Ans - 400 m
Q2. Aarav and Arnav start simultaneously from the same point on a circular track and run in opposite directions at speeds of 2.20 km/hr and 3.55 km/hr respectively. If the circumference of the track is 736 m, after how much time will they meet for the first time?
Ans - 7.68 minutes
Q3. Two pipes A and B can fill a cistern in 4 and 8 hours respectively. Pipe C can empty a full tank in 24 hours. If all the three pipes are opened simultaneously, find the time taken to fill the tank?
Ans - 3 hr
Q4. A train travelling 75 km at ‘a’ km/hr, arrives at its destination 1 hour late. What should have been the speed (in km/hr)for it to arrive on time?
Ans - 75𝑎/75−𝑎
Q5. Kirti can complete 25% of a piece of work in 3 hrs. Rajnish and Kirti can complete the whole work in 4 hrs. How much time (in hours) does Rajnish require to complete 50% of that work?
Ans - 3
Q6. A train travelling at a certain speed can cross a person standing on the platform in 10 seconds, while it takes 2 seconds more for the same if it travels slower by 18 km/hr. Find the length of the train.
Ans - 300 m
Q7. Amit and Berry, who are separated by a distance 90 m, are approaching towards each other. The initial speed of Amit is 5 m/s and that of Berry is 10 m/s. If Amit increases his speed by 5 m/s every second, when will they meet each other?
Ans - 4 sec
Q8. A and B together can complete a piece of work in 12 days. A and C together can complete the work in 20 days. If three of them together can complete the work in 8 days, then in how many days can A alone complete the work?
Ans - 120
Q9. A train travels at a uniform speed of 15km/hr.If the speed had been 10km/hr more, it would have taken 8 hours less to cover the distance between stations A and B.Find the distance (in km)between A and B?
Ans - 300
Q10. Eight children and twelve women complete a certain piece of work in 9 days. If each child is half as efficient as a women, then in how many days will 12 women finish the same work?
Ans - 12
Q11. A, B and C can complete a piece of work in 8, 12 and 24 days respectively. If A and B work on the first day, B and C work on the second day and A and C work on the third day and the same pattern continues 4th day onward, then in how many days will the work be completed?
Ans - 6
Q12. The distance between the two union territory, Delhi and Chandigarh is 250 km. Kostav starts from town Delhi at a speed of 30 kmph and Priyatam starts from town Chandigarh at a speed of 45 kmph towards each other. At what distance from Chandigarh will they meet together on their way?
Ans - 150
Q13. Gaurav drives at 30 km/hr while going from point A to B and he return from B to point A at a speed of 20 km/hr. Find his average speed in entire journey.
Ans - 24
Q14. A and B start running simultaneously from the same point on a circular track with speeds 5 m/s and 15 m/s respectively. If they run in the opposite directions, find the ratio of the distances covered by them till their first meeting.
Ans - 1:3
Q15. A can complete a job in 16 days. He started the work and after 4 days B joined him .They completed the job in 4 more days. Find the number of days in which B alone can complete it.
Ans - 8 days
