Time and Distance Questions

1/3 part of a certain journey is covered with the speed of 25 km/hr, 1/2 part of the journey is covered with the speed of 45 km/hr and the remaining part covered with the speed of 37.5 km/hr. What is the average speed (in km/hr) for the whole journey?

A person driving at the speed of 40 kmph reaches office 1 minute early while he reaches 3 minutes late if driving at 36 kmph. What is the distance in km that she is covering?

When Gopal walks from A to B and returns from B to A on cycle, then it takes him 46 minutes. By walking both ways, it takes him 75 minutes. If he rides cycle both ways then what will be the total time (in minutes)?

The distance between two pillars is 120 metres. The height of one pillar is thrice the other. The angles of elevation of their tops from the midpoint of the line connecting their feet are complementary to each other. The height (in metres) of the taller pillar is (Use : √3 = 1.732)

Two numbers are 10% and 20% lesser than a third number respectively. By how much percent is the second number should be enhanced to make it equal to the first number?

Shrenik switched on a bulb at 2 : 39 : 40 hours and switched it off on the same day at 12 : 30 : 34 hours. For how long was the bulb in switched-on mode?

The distance between the points (4, 8) and (k,-4) is 13. What is the value of k?

A car can cover 350 km in 4 hrs. If its speed is decreased by 12.5 kmph. How much time does the car take to cover a distance of 450 kms.