Question 1: The speed of an slow train is km/hr and that of an fast train is .

- Find the time taken by each train to cover 300 km.
- If the ordinary train takes 2 hrs more than the express train; calculate speed of the express train.

Answer:

Time taken by slow train

Time taken by fast train

Given

The speed of the slow train = 50 km/hr and that of the fast train is 75 km/hr.

Question 2: If the speed of a car is increased by 10 km per hr, it takes 18 minutes less to cover a distance of 36 km. find the speed of the car.

Answer:

Let the speed of the car be

Therefore

Therefore speed of the car is 30 km/hr.

Question 3: If the speed of an airplane is reduced by 40 km per hr, it takes 20 minutes more to cover 1200 km. find the speed of the airplane.

Answer:

Let the speed of the airplane be

Therefore

Therefore speed of the airplane is 400 km/hr.

Question 4: A car covers a distance of 400 km at certain speed. Had the speed been 12 km/h more, the time taken for the journey would have been 1 hour 40 minutes less. Find the original speed of the car. [2012]

Answer:

Let the speed of the car be

Therefore

Therefore speed of the car is 48 km/hr.

Question 5: A girl goes to her friend’s house, which is at a distance of 12 km. She covers half of the distance at a speed of . and the remaining distance at a speed of . if she takes 2 hrs 30 minutes to cover the whole distance, find .

Answer:

Her speed is 4 km/hr.

Question 6: A car made a run of 390 km in hours. If the speed had been 4 km/hr more, it would have taken 2 hr less for the journey. Find .

Answer:

Given

Hence the speed of the car is 26 km/hr.

Question 7: A goods train leaves a station at 6 pm followed by an express train which leaves at 8 pm and travels 20 km/hr faster than the goods train. The express train arrives at a station, 1040 km away, 36 minutes before the goods train. Assuming that the speed of both the train remains constant between the two stations; calculate their speeds.

Answer:

Given

Hence the speed of the two trains are 80 km/hr and 100 km/hr.

Question 8: A man bought an article for and sold it for Rs. 16. If his loss was percent, find the cost price of the article.

Answer:

Cost price

Selling Price

Therefore

Question 9: A trader bought an article for Rs. and sold to for Rs. 52, thereby making a profit of percent on his outlay. Calculate the cost price.

Answer:

Cost price

Selling Price

Therefore

Therefore the cost price is 40 Rs.

Question 10: By selling a chair for Rs. 75, a person gained as much percent as its cost. Calculate the cost of the chair.

Answer:

Cost price

Selling Price

Therefore

Therefore the cost price is 50 Rs.