# Quantitative Aptitude: Time, Speed and Distance Set 3

- The distance between two towns A and B is 545 km. A train starts from town A at 8 A.M. and travels towards town B at 80 km/hr. Another train starts from town B at 9 : 30 A.M. and travels towards town A at 90 km/hr. At what time will they meet each other?

A) 11:30 AM

B) 12:30 PM

C) 12:00 Noon

D) 1:00 PM

E) 11:00 AM

- A bus can travel 560 km in 8 hours. The ratio of speed to train to that of car is 13 : 8. If the speed of bus is 7/8 of the speed of car, find in how much time train can cover 520 km distance.

A) 3 hours

B) 4 hours

C) 6 hours

D) 5 hours

E) 2 hours

- A person has to travel from point A to point B in car in a scheduled time at uniform speed. Due to some problem in car engine, the speed of car has to be decreased by 1/5
^{th}of the original speed after covering 30 km. With this speed he reaches point B 45 minutes late than the scheduled time. Had the engine be malfunctioned after 48 km, he would have reached late by only 36 minutes. Find the distance between points A and B.

A) 120 km

B) 80 km

C) 100 km

D) 150 km

E) 70 km

- Towns A and B are 225 km apart. Two cars P and Q travel from towards each other from towns A and B respectively and meet after 3 hours. If the speed of P be 1/2 of its original speed and Q be 2/3 of its original speed, they would have met after 5 hours. Find the speed of the faster car.

A) 50 km/hr

B) 40 km/hr

C) 45 km/hr

D) 30 km/hr

E) 60 km/hr

- From point A, Priya and Bhavna start cycling towards point B which is 60 km away from A. The speed of Priya is 10 km/hr more than the speed of Bhavna. After reaching point B, Priya returns towards point A and meets Bhavna 12 km away from point B. Find the speed of Bhavna.

A) 40 km/hr

B) 15 km/hr

C) 30 km/hr

D) 20 km/hr

E) 45 km/hr

- A train crosses 2 men running in the same direction at speeds 5 km/hr and 8 km/hr in 12 seconds and 15 seconds respectively. Find the speed of the train.

A) 30 km/hr

B) 24 km/hr

C) 25 km/hr

D) 35 km/hr

E) 20 km/hr

- A train which is travelling at 80 km/hr meets another train travelling in same direction and then leaves it 150 m behind in next 20 seconds. Find the speed of the second train.

A) 72 km/hr

B) 53 km/hr

C) 64 km/hr

D) 59 km/hr

E) 65 km/hr

- In a 500 m race C can beat B by 30 m, and in a 400 m race B can beat C by 20 m. Then in 200 m race A will beat C by how much distance (in m)?

A) 58.2 m

B) 68.4 m

C) 63.5 m

D) 72.8 m

E) 55.2 m

- 2 towns A and B are 300 km apart. 2 trains start travelling from town A towards town B such that the second train leaves 8 hours late than the first one. They both arrive at town B simultaneously. If the speed of the faster train is 10 km/hr more than the speed of the slower train, find the time taken by the slower train to complete the journey.

A) 25 hours

B) 22 hours

C) 14 hours

D) 18 hours

E) Cannot be determined

- A man leaves from point A at 4 AM and reaches point B at 6 AM. Another man leaves from point B at 5 AM and reaches point A at 8 AM. Find the time when they meet.

A) 6:20 AM

B) 6:15 AM

C) 5:45 AM

D) 5:36 AM

E) 5:30 AM