time and distance Model Questions & Answers, Practice Test for ssc mts paper 1 2023

A 300 meter long train moving with an average speed of 126 km/hr crosses a platform in 24 seconds. A man crosses the same platform in 5 minutes. What is the speed of the man in meters/second

The ratio between the speed of a train and a car is 16 : 15 respectively. Also, a bus covered a distance of 480 km in 8 h. The speed of the bus is three-fourth the speed of the train. How much distance will the car cover in 6 h?

Car A runs at the speed of 65 km/h and reaches its destination in 8h. Car B runs at the speed of 70 km/h and reaches its destination in 4h. What is the respective ratio of distances covered by Car A and Car B ?

Two men start together to walk a certain distance, one at 3 $3/4$ km an hour and the other at 3 km an hour. The former arrives half an hour before the latter. Find the distance.

Subbu starts from a point O at 10:00 a.m., overtakes Ajay, who is moving in the same direction, at 11:00 a.m. and Bhuvan moving in the opposite direction at 12:00 (noon). If the speed of Bhuvan is one fourth the speed of Subbu, at what time will Ajay and Bhuvan cross each other ?

Answer: (d)

Let the speed of Ajay be V and the speed of Bhuvan and Subbu be 1 and 4 respectively.

Then OA = 4 and OB = 4.

At 12:00 noon.

Let Ajay be at C at 12:00 noon at a distance of V from A (towards B)

∴Time taken for them to meet from 12:00 noon.

= ${4-V}/{1+V}$

Since V is not known ${4-V}/{1+V}$ cannot be determined.