Mathematics (Speed, Time and Distance গতিবেগ, সময় এবং দূরত্ব)

1) Mohan covers a distance of 187 km at the speed of S km/hr. If Mohan increases his speed by 6 km/hr,
then he takes 6 hours less. What is the value of S

2) Manish goesto his hometown at the speed of 40 km/hr andreturns to his homeat the speed of Y km/hr.
Distance between his home and hometown is 360 km. If he takes total 21 hours, then whatis the value of
Y

3) A train covers a certain distance at a speed of 45 m/s in 15 minutes. How much time it will take to cover
the same distance at the speed of 60 m/s

4) Walking at 75% of his usual speed, Raghu is 80 minutes late to his office. What is his usual time in hours
to cover the same distance?

5) A takes 6 hours more than B to cover a distance of 60 km. But if A doubles his speed, he takes 3 hours
less than B to cover the same distance. The speed (in km/hr) of A is:

6) A vehicle travels half the distance at 60 km/h and the remaining half at 90 km/h. If the total distance is 180 km, what is the average speed of the vehicle for the entire journey?

7) If Sohan is driving a bike at a speed of 25 m/s, then in how muchtime Sohan will cover a distance of 540
km?

8) A person drives from A to B at 80 km/h and from B to C at 50 km/h. If the total time taken is 5 hours and the distance from A to B is 200 km, find the distance from B to C.

9) A man walks to a place at 5 km/h and returns at 3 km/h. If the total walking time is 4 hours, what is the distance to the place?

10) A man standing at the top of a hill observes the angle of depression of a car on the ground to be 30 degrees. If the hill is 100 meters high, how far is the car from the base of the hill?