Simple Math Questions for Competitive Exams

A constable was 114 meters behind a thief. A constable walks 21 meters and a thief 15 meters in a minute, then in how much time will the constable catch the thief?

Train A of length 120 m can cross a platform of length 240 m in 18 second the ratio of speed of train A and Train B is 4 : 5. Then find the length of Train B if train B can cross a pole in 12 seconds.

There are three athletes A, B and C at a same point. A starts running from a point at a speed of 40 m/min. After 5 minutes, B starts running after A with a speed of 50 m/min. Simultaneously, C also starts running after A at 60 m/min. What distance has C covered (in m) when he catches A?

180 m long Train A crosses Train B of 120 m in length which is running in opposite direction in $$ {60\over 11}$$ sec. If speed of train B is 20% more than that of train A, then find the time taken by both trains to cross each other, when they running in same direction?

A is thrice as efficient as B. A started working and after 4 days he was replaced by B. B then worked for 15 days and left. If A and B together finished 75% of the total work, in how many days B alone can finish the whole work ?

A train crosses 420 metres and 244 metres long bridge in 50 seconds and 34 seconds respectively. Find the length of the train?

The distance between two stations S₁  and S₂  is 640 km. A train J starts at 5 pm from S₁  and moves towards S₂  at an average speed of 80 km/h. Another train K starts from S₂  at 4 : 20 pm and moves towards S₁  at an average speed of 100 km/hr. How far from S₁ will the two trains meet?

Two men start walking together to a certain destination, one at 6 km/hr and other at 7.5 km/hr. The later arrives an hour before the former. The distance is ?

A 280-m-long train takes 20 sec to cross a person who is going in the same direction with the speed of 6 km/h. After crossing that person, the train can reach next station in 45 min. How long will that person take to reach the station after being crossed by train?

Aashi had Rs. 20,000 with her out of this money she lent some money to Anshul for 4 years at 20% p.a. simple interest. She lent the remaining money to Rajat for an equal number of years at the rate of 24% p.a. After 4 years, Aashi found that Anshul had given her Rs. 864 more as interest as compared to Rajat. The amount of money which Aashi had lent to Rajat must be.