**1. A boy walking at a speed of 10 km/h reaches his school 12 min late. Next time at a speed of 15 km/h reaches his school 7 min late. Find the distance of his school from his house? **

**2. Two boats travelling at 5km/h and 10km/hr, head directly towards each other. They begin at a distance of 20 kms from each other. How far apart are they (in kms) one minute before they collide?
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**3. The distance between two points P and Q is 115 km. Two persons start at the same time but one travelling from P towards Q and the other travelling from Q towards P. If their respective speeds are 40 kmph and 52 kmph, where do they meet each other?
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**4. Ravi starts by car from Mumbai to Goa. After sometime he realise that he will cover only 75% of the distance in the scheduled time or takes 3 hour more therefore he doubles his speed immediately and thus manages to reach Goa exactly on time. Find the time after which Ravi changed his speed?
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**5. A runs twice as fast as B and B runs thrice as fast as C. The distance covered by C in 72 minutes, will be covered by A in:
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**6. When a person reduces his speed from 42 km/hr to 36 km/hr he takes 20 min more then his usual time taken. Find the usual time taken by him?
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7. A train travels at the rate of 50 km/hr without stoppages and it travels at 40 km/hr with stoppages. How many minutes does the train stop on an average per hour?

**8. Amit walks at a uniform speed of 4 km/hr and 4 hr after his start, Brijesh cycles after him at the uniform rate of 20 km/hr. How far from the starting point will Brijesh catch Amit?
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9. If Sohali walks from his home to office at 16 km/hr he is late by 5 min. If he walks at 20 km/hr, he reaches 10 min before the office time. Find the distance of his office from his house.

**10. Train A crosses a pole in 20 seconds and Train B crosses the same pole in one minute. The length of Train A is half of the length of Train B. what is the ratio of the speed of Train A to that of Train B?
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**Directions—(Q. 11–15) **Study the following graph carefully to answer the questions that follow—

The following line graph gives distance (in km) travelled by five different trucks in a day.** **

**11. What is the respective ratio of the distance travelled by Truck A to the distance travelled by Truck D?**

12. What is the average distance travelled by all the Trucks together?

13. If Truck C covered the given distance at the average speed of 55 km/hr, what was the time taken by it to cover this distance?

14. The distance travelled by Truck A is approximately what per cent of the total distance travelled by Truck E and C together?

15. If the time taken by Truck B to cover the given distance was 8 hours, what was the average speed of the truck B?