Numerical Abili...

The distance between two cities A and B is 480 km. A car starts from A at (3/5) of its original speed and reaches B late by 80 minutes than its scheduled time. Find the original speed of the car (in km/h).

In a 600 m race, A gave B a head start of 5 seconds and still won the race by 20 seconds. If the ratio of the speed of A to the speed of B is 2 ∶ 1, then the speed of B is:

Devendra leaves his home every day at 8:25 am and reaches office at 9:55 am. One day he leaves his home at 8:25 am, but covers 3/10 of the total distance at 6/7 of normal speed and the remaining distance at 7/6 of normal speed. What time does Devendra reach office that day?

A trip to a destination is made in the following way:

a) 550 km by train at an average speed of 55 km/h

b) 4500 km by plane at an average speed of 500 km/h

c) 400 km by boat at an average speed of 25 km/h

d) 55 km by auto at an average speed of 35 km/h

What is the average speed for the entire journey?

A man runs for 40 km. The time taken by him in the first 10 km is twice the time taken by him in the second 10 km. The time taken in the third 10 km is half of the time taken in the fourth 10 km, and the time taken in the fourth 10 km is equal to the time taken in the first 10 km. If his speed in the first 10 km is 40 km/h, then what is the average speed for 40 km?

Walking at 3/4 of her normal speed Tanvi takes 2 hours more than the normal time. What is her normal time?

A car travelling at a speed of 70 km/h overtakes a bus travelling in the same direction and leaves it 170 m behind in 18 seconds. What is the speed (in km/h) of the bus?

A policeman saw a thief from a distance of 68 meters. The thief starts running away and the policeman chases him. The thief and the policeman run at the speed of 4 m/s and 9 m/s respectively. How long did it take for the policeman to catch the thief?

The ratio between the speed of the boat in still water and the speed of the stream is 10 ∶ 6. The boat covers a distance of 42 km downstream and 34 km upstream and takes total time of 6 hours. Find the downstream speed of the boat.

Two trains Mumbai Rajdhani and Kissan Express of lengths 850 m and 700 m are 1050 m apart, and are running on parallel tracks towards each other. Mumbai Rajdhani is running at 62 km/h and Kissan Express is running at 55 km/h. In how much time (in sec) will the trains cross each other?